ssignment
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Solving for Angle Measures of Isosceles Triangles
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)" What is the value of x? What is the measure of each base angle?
Each base angle measures

Answers

Answer 1

Part a: The value of x is 33°

Part b: The measure of each base angle is 69°

Explanation:

It is given that the vertex angle of an isosceles triangle measures 42°.

The base angle in the triangle has a measure of [tex](2x+3)^{\circ}[/tex]

Part a: To determine the value of x

Since, in an isosceles triangle the base angles are always equal.

Thus, the three angles in an isosceles triangle add up to 180°

Hence, we have,

[tex]42+2x+3+2x+3=180[/tex]

              [tex]42+4x+6=180[/tex]

                     [tex]4x+48=180[/tex]

                             [tex]4x=132[/tex]

                               [tex]x=33^{\circ}[/tex]

Thus, the value of x is 33°

Part b: To find the measure of each base angle.

Base angle = [tex](2 x+3)^{\circ}[/tex]

Substituting [tex]x=33^{\circ}[/tex] , we get,

[tex]Base \ angle = (2(33)+3)^{\circ}[/tex]

                  [tex]=(66+3)^{\circ}[/tex]

                  [tex]=69^{\circ}[/tex]

Thus, the measure of each base angle is 69°

Answer 2

Answer:

33 and 69 lol funny number

Step-by-step explanation:


Related Questions

Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x? - 96x
72x2 - 108
72x2 - 204x + 144

Answers

Final answer:

Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.

Explanation:

In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.

However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.

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$300 invested at 12% compounded monthly after a period of 1.5 years

Answers

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

A bake sale earns 80$ from selling 50 brownies. Each brownie cost the same amount. How much was 1 brownie?

Answers

$1.60
Divide 80 by 50 to find the cost of one brownie which will then lead you to get you the answer of $1.60

Answer:

cost of one brownie is $1.60

Step-by-step explanation:

Cost of one brownie

$80 from selling 50 brownies

we can create a ratio

80     :    50

x       :      1

we can use cross multiplication to solve this:

80 = 50x

80/50 = x

x = $1.60

cost of one brownie is $1.60

Can someone help me please

Answers

Answer:

q<5

Step-by-step explanation:

Since the line goes to the left of 5, q must be less than 5.

The open circle on 5 means that it cannot include 5.

Therefore, q is less than (<) five

Wendy already owns 4 necklaces, and additional necklaces are priced at 1 for a dollar. How
much money does Wendy need to spend on new necklaces in order to own a total of 26
necklaces?

Answers

Answer:

$22

Step-by-step explanation:

If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.

Answer:

She needs to spend $22.

Step-by-step explanation:

She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?

We subtract 4 from 26.

26 - 4 = 22

She needs to buy 22 necklaces to have a total of 26 necklaces.

Each necklace costs $1.

22 necklaces cost 22 times $1.

22 * $1 = $22

Answer: She needs to spend $22.

8(4x + 6) what is the answer

Answers

Answer:

32x+48

Step-by-step explanation:

All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.

8(4x)+8(6)

8(4x)=32x

8(6)=48

We therefore have as our answer

32x+48

Solve the equation
−3(x + 8) − x = 2(2x − 7)

Answers

Answer:

-4x-24=4x-14      x is 1

Step-by-step explanation:

solved in my head. please give me brainliest!!!!!

If you are looking for x it would be 1

Which is the equation of the function?

f(x) = 3|x| + 1
f(x) = 3|x – 1|
f(x) = |x| + 1
f(x) = |x – 1|

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

what is the value of 4(3x + 5) when x = 11?

Answers

Answer:

152

Step-by-step explanation:

3(11)= 33

4(33+5)

4(33)=132

4(5)=20

132+20=152

Final answer:

The value of the expression 4(3x + 5) when x = 11 is 152. This was calculated by replacing x in the equation with 11, simplifying the resultant equation and finally calculating the product.

Explanation:

The student has asked to compute the value of 4(3x + 5) when x = 11. This a problem in the field of Algebra, where 'x' is a variable and the equation 4(3x + 5) is an expression.

First, let's substitute x in the equation with 11. So the equation becomes 4(3*11 + 5). Let's simplify the equation. This gives us 4(33 + 5), which equals 4*38. Multiplying 4 by 38 gives us the final answer, 152.

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During halftime of a football ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The​ T-shirt is caught 35 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?

Answers

It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].

The equation is of the form

h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height.  Using the values from our problem, we have:

h(t) = -16t² + 64t + 5

To find the maximum height, we find the vertex.  The first step in this is to find the axis of symmetry, which is given by -b/2a:

-64/2(-16) = -64/-32 = 2

This is our value for t, so it takes 2 seconds to reach the maximum.  Substituting this into our function, we have

h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69

This is the maximum height.

The range of heights goes from 5 to 69, inclusive, or [5, 69].  

The T-Shirt reaches its maximum height of 104 feet at 2.5 seconds. The range of the height over time is from 4 feet to 104 feet.

To analyze the projectile motion of the T-Shirt, we'll use the kinematic equations. The height h(t) at any time t can be modeled by the equation:

h(t) = -16t2 + v0t + h0

where:

h(t) is the height at time tv0 is the initial velocity (80 ft/s)h0 is the initial height (4 ft)

1. Time to reach maximum height:

To find the time to reach maximum height, we use the formula for the time at which the velocity becomes zero:

t = v0 / g

t = 80 ft/s / 32 ft/s2 = 2.5 s

2. Maximum height:

Now, substituting t = 2.5 s into the height equation, we get:

h(2.5) = -16(2.5)2 + 80(2.5) + 4

h(2.5) = -100 + 200 + 4 = 104 feet

3. Range of the height function:

The T-Shirt starts at 4 feet, reaches a maximum of 104 feet, and is caught at 35 feet. Hence, the range of the height function is [4, 104] feet.

Find the slope of the line that passes through -2,5 and -1,1

Answers

Answer:

m= -4

Step-by-step explanation:

use the slope formula m=rise/run  y2-y1/x2-x1

the answer to this is -4

Find the value of x to the nearest tenth! Help ASAP

Answers

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

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Volume of Prisms & Pyramids Practice
Find the volume of each figure. Be sure to include the units, and circle or box your answers.
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4 in
2)
12 m
10 m
2 in
2 in
2 in
2 in
3)
4 ft
4)
10 yd
8 yd
6 yd
8m
6m
9 yd
5 ft
12 ft
5)
11 m
6)
4 ft
12 ft
12 ft
4 ft
2 ft
10 m
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Worksheet by Kuta Software LLC

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7 ft
8)
8 m
3m
4m
9)
12 in
9 in
9 in
10)
11 mi
8 ft
6 ft
5m
10 ft
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12 in
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8 mi
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10 in
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Worksheet by Kuta Software LLC

Answers

Not sure because I don’t see the figures I’m supposed to find the volume of

solve the system of equations -x-y=-4 and -2x+4y by combining the equation

Answers

what does the second equation equals to? (-2x+4y=?) I’ll help u out

Answer:

×=8/3 and y=4/3

Step-by-step explanation:

-x-y=-4

-2x+4y=0

-2x=-4y

x=2y

so -2y-y= -4 and x= 2•4/3

-3y=-4 x=8/3

y=4/3

Last month, the Nunez family spent $218.85 for 1,214 kilowatt hours of electricity. What is the unit rate per kilowatt hour?

Answers

Answer:

$.18 per kilowatt hour

Step-by-step explanation:

To find the rate per kilowatt hour

Take the price and divide by the kilowatt hours

218.85/1214

.180271829

Since this is money,we round to the nearest cent

$.18 per kilowatt hour

explanation needed tip by using chain rule​

Answers

Answer:

1/(810pi) cm/s

Step-by-step explanation:

V = pi×r²×h = pi×90²×h = 8100pi×h

dh/dt = dh/dV × dV/dt

dV/dh = 8100pi

dV/dt = 10

dh/dt = (1/8100pi) × 10

= 1/(810pi) cm/s

2. The 120 sixth graders are going on a
field trip to the museum. The museum
requests a ratio of students to adult
chaperones of 8:1. How many adult
chaperones will be needed?

Answers

Answer:

15 chaperones

Step-by-step explanation:

Solve t. Soving proportion 7-3=4-t t=

Answers

Answer:

t = 0

Step-by-step explanation:

Step 1:  Solve for t

7 - 3 = 4 - t

4 - 4 = 4 - t - 4

0*-1 = -t*-1

0 = t

Answer:  t = 0

Help with any please!

Answers

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?
slope = -1
Slope = -1/2
slope = -2

Answers

Answer:

The slope is -1/2 which is Option B

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer:  The slope is -1/2 which is Option B

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

Part B: If Taylor and Miley both
work for 2 weeks, how much more
will Taylor earn?

Answers

Answer: $661.50

Step-by-step explanation:

Taylor makes $771.25 per week and makes twice that much in two weeks.

2×771.25=2(700+70+1+0.25)=1400+140+2+0.50

So Taylor makes $1542.50 in two weeks.

Miley makes $440.50 per week and so will make $881 in two weeks. Since

1542.50−881=742.50−81=741.50−80=701.50−40=661.50

We know that Taylor will make $661.50 more than Miley in two weeks.

Hope this helps!

Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy

Answers

Answer:

7^6

and

7⋅7⋅7⋅7⋅7⋅7/1

Step-by-step explanation:

Hope this helps! It would be better for me to see the selections though.

Answer:

A - 7^8/7^2
C - (7^2)^3

Step-by-step explanation:

So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it

What ratio is equivalent to 2/8

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]

[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]

[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to select the committee?

A. 50,050 ways
B. 3,744 ways
C. 273 ways
D. 34 ways​

Answers

Final answer:

To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.

Explanation:

The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.

Step-by-step solution:

Calculate the number of ways to choose 9 women out of 13, which is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial. For the women, C(13, 9) must be calculated.Calculate the number of ways to choose 4 men out of 8, using the same formula. This will be C(8, 4).Multiply the two results to get the total number of ways to form the committee, since the selections of women and men are independent events.

Now, using the combination formula:

C(13, 9) = 13! / (9! × (13-9)!) = 13! / (9! × 4!)C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!)Therefore, the total number of ways to select the committee = C(13, 9) × C(8, 4).

After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).

4x−4<8 AND 9x+5>23 Solve for X.

Answers

Hope this will help u...

Two farmers bought a truck. The first farmer paid 4/5 of the price, and the second paid the rest. The first farmer's share was
$9,600. What was the total price of the truck?
A $10,000
B
$12,000
C
$20,000
D
$25,000
Next >>

Answers

Answer:

C) $12,000

Step-by-step explanation:

4/5 = 9600

÷4

1/5 = 2400

4/5 + 1/5 = 5/5 = the whole price

9600 + 2400 = 12000

=$12,000

(24y + 2x)divide(1/4z

Answers

Answer:

96y/z + 8x/z

Step-by-step explanation:

hope this helped

The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?
(not drawn to scale)

Answers

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

3. What is the correct factorization of x2 – 2x – 15?

Answers

Answer:

(x+3)(x−5)

Step-by-step explanation:

to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative

Hope this will help u..

A painter estimates she can paint a house in 40 hours. She knows her assistant can do the same job is 60 hours. How long would it take them to paint the house working together?

Answers

24 hours

Step-by-step explanation:

1 hour

Painter1 1/40

Painter2 1/60

together 1/40+1/60=5/120=1/24

The time it would take them to paint a house working together is 24 hours.

How are number of people to time needed to complete a task related?(WORK DONE)

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Time = 40hours

Time for her assistant= 60hours

Now,

First, let’s find their individual rates. The painter can paint 1/40 of a house per hour and the assistant can paint 1/60 of a house per hour. To find their combined rate, we add these fractions:

1/40 + 1/60 = 3/120 + 2/120 = 5/120

This means that together they can paint 5/120 of a house per hour. To find how long it would take them to paint one whole house (or 1/1), we use the formula:

Work done = Rate × Time 1/1 = (5/120) × Time Time

= (120/5) × (1/1) Time

= 24 hours

Therefore, by work and time the answer will be 24 hours.

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Other Questions
Assume the following facts are true for 2016: 318 million people lived in the United States. A total of 2,468,435 of these people died during 2016. Diabetes was a leading cause of illness and death with 29 million people living with diabetes at the beginning of 2016. During 2016 1.4 million people were newly diagnosed with diabetes.In 2016 how many people were at risk for diabetes? A teacher tries to help a student recall an event that took place during a field trip to the natural history museum by saying, "Remember, it was the time when you went off to see the skeletons." Which memory component was most directly involved? If 5.2 moles of oxygen react, how many moles of nitrogen monoxide are produced? _______ Round to the nearest tenth, include units on your answer. question 3 - open up to see pic Step by step please :) Find a1, d, and the Explicit Rule for this arithmetic sequence: -3, 4, 11, 18, 25, ...1.)a1 =-3, d=-7, an = -7n - 32.)a1 =-3, d = 7, an = 7n - 103.)21 = -3, d =-7, an = -7n - 104.)a1 = -3, d = 7, an = 7n - 3 The total power consumption by all humans on earth is approximately 1013 W. Lets compare this to the power of incoming solar radiation. The intensity of radiation from the sun at the top of the atmosphere is 1380 W/m2. The earth's radius is 6.37106 m. How does the health of polar bears indicate the health of the environment Harris Brown, the marketing manager at a small retail chain, wants to assess his firm's strengths, opportunities, weaknesses, and threats. Which of the following would be best suited for his purpose Under LIFO, net income exists if revenues are sufficient to cover the __________ cost of the units of inventory sold, provided new units are acquired before the end of the accounting period. The length of a certain rectangle is 15cm more than three times its width. If the perimeter of the rectangle is 94cm, what is the area. Processes of Mechanical Weathering The processes of mechanical weathering transform rocks exposed at the surfaceover time. In frost wedging, seasonal freezing of water causes expansion of cracks in rock. Salt crystal growth within fissures or cracks in rock similarly causes expansion and mechanical weathering. Sheeting occurs when large sheets of rock dome upward and peel off when overlying rocks are eroded away,decreasing pressure. Biological activity can also cause mechanical weathering ofrocks when living things such as the roots of plants or bacteria cause rocks to break apart. Fill in the sentences below to explore the four different mechanical weathering processes. Climatehas a crucial influence on the rates of all types of mechanical weathering.Salt crystal growthcan contribute to crumbing roadways in areas where saltis spread to melt ice and snow in winter. The fissures formed as a result of Sheetingin exfoliation domes can be further enlarged by Frost wedgingin areas subjected to seasonal freeze-thaw cycles. The break down of rock by moving fresh materials to the surface by burrowing animals is an example of mechanical weathering due to Biologicalactivity. 3.Considering the following list, which is not an example of chemical weathering?a.Exfoliation 4.What is the definition of physical weathering? a.Mechanical processes break substances into smaller pieces. A bond is aa.financial intermediary. b.certificate of indebtedness. c.certificate of partial ownership in an enterprise. d.None of the above is correct. Weekly demand for a product is 250 units with a standard deviation of 60 units (assume 52 weeks per year). Lead-time is 3 weeks. Calculate the safety stock and the reorder point for 98 percent service level. Convert 746% to a mixed number Please help me!!! Thank you!! please help me with this The probabilityThe number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3,5,8, and 9 is _. The probability that both the first digit and the last digit of the three-digit number are even numbers is _. A procedure used by some qualitative researchers involving sending the findings to participants to get their feedback on the content and accuracy of the research report, is called _____. Group of answer choices Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.15 mmNot drawn to scale.What is the surface area of the prism?