One angle of a triangle measures 140°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer 1

Answer:

15 and 25

Step-by-step explanation:

the interior angles of a triangle, when added, = 180...so if one angle equals 140, then the other 2 angles have to measure a combined total of 40.

the other 2 angles are in a ratio of 3:5....added = 8

so one angle is 3/8 of 40......3/8 * 40 = 120/8 = 15 <===

the other angle is 5/8 of 40....5/8 * 40 = 200/8 = 25 <==

Answer 2

Final answer:

To find the measures of the other two angles in the triangle, set up a ratio between them: angle 1 is 3x and angle 2 is 5x. Solve the equation and find that the measures of angle 1 and angle 2 are 15° and 25°, respectively.

Explanation:

To find the measures of the other two angles in the triangle, we can set up a ratio between them. Let's call one angle 3x and the other angle 5x. We know that the sum of all three angles in a triangle is 180°. So we can write the equation: 140° + 3x + 5x = 180°.

Simplify the equation: 140° + 8x = 180°.

Subtract 140° from both sides: 8x = 40°.

Divide both sides by 8: x = 5°.

Now we can find the measures of the other two angles: Angle 1 = 3x = 3(5°) = 15°. Angle 2 = 5x = 5(5°) = 25°.


Related Questions

Write 2.346 as a percent to the nearest tenth of a percent

Answers

Answer:

[tex]234.6\%[/tex]

Step-by-step explanation:

we know that

To convert decimal number  as a percent, multiply the number by 100 (just move the decimal point two places to the right)

we have

[tex]2.346[/tex]

Convert as a percent

Multiply by 100

[tex]2.346(100)=234.6\%[/tex]

What is the square root of -16?

Answers

Answer:

-4

Step-by-step explanation:

-4*-4= 16

Find the value of the variable

Do not answer if you are unsure!
Answer as many as you can please!





1. −4x−3=−6x+9

x = ___
(type your answer as a number)


2.
41−2n=2+n

n = ___
(type your answer as a number)




3.
5x−7=−10x+8

x = ___
(type your answer as a number)


4.

7y+3=4y−18

y = ___
(type your answer as a number)

Answers

Answer:

6

13

1

-7

Step-by-step explanation:

-7×-3×=-8×-8
[tex] [/tex]


Answers

Answer:

x = 4

Step-by-step explanation:

[tex]-7x-3x=-8x-8\\\\-10x=-8x-8\qquad\text{add}\ 8x\ \text{to both sides}\\\\-10x+8x=-8x+8x-8\\\\-2x=-8\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{-8}{-2}\\\\x=4[/tex]

219 divided by 4 equals what

Answers

Answer:

54.75

Step-by-step explanation:

219 divided by 4. Just plug it into a calculator

Answer:

54¾

Step-by-step explanation:

To start

4 goes in 219 = 54 times

remaining 3

so, writing as mixed fraction we have

219/4 = 54¾

Line XY bisects and is perpendicular to AB and CD. CD = 10 and XY = 24. What is the length of AP?

Answers

Answer:

AP = 13

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = [tex]\sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13[/tex]

From the figure AP = PC = 13

BN. What additional given information is needed to prove
Triangle BUN is isosceles with BU
A BUG ZA BNA by ASA?
LOOK AT PICTURE:::

Answers

Answer:

To me it looks to be A: UBA/NBG because I can see two right isosceles. Hope this helps!!

Final answer:

To prove Triangle BUN is isosceles with BU = BN using ASA, additional given information is needed to show that UN = NA.

Explanation:

In order to prove that Triangle BUN is isosceles with BU = BN, we need additional given information. To use the ASA (Angle-Side-Angle) congruence criterion, we already have BUN = BNA, but we also need to know that UN = NA. Without this information, we cannot conclude that the triangles are congruent.

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The perimeter of a rectangle is 40 inches. If the length of the rectangle is 12 inches, which equation could be used to find the width, x?
A. x+2(12)=40
B. 12( x+2)=40
C. x+12 =40
D. 2(x+12) =40​

Answers

Answer:

C. x + 12 = 40

Answer: D. 2(x+12) =40​

Step-by-step explanation:

The Perimeter of a rectangle is calculated by the formula :

P = 2 ( length + width )

Let the width of the rectangle be x , then the perimeter becomes

40 = 2 ( 12 + x )

The width of a photograph is 4 centimeters more than three tenths of the length. If the width is 13 centimeters, what’s the length?

Answers

Answer:

30 centimeters

Step-by-step explanation:

since the width is 4 centimeters more than 3/10 of the length, then 13 is 4 centimeters more than 3/10 of the length. 4 less than 13 is 9, so nine is 3/10 of the length. if 9 is 3/10, then 3 is 1/10 because 3/10 is three times 1/10. If 3 is 1/10, that means that 30 is the length because 1/10 multiplied by 10 is 10 tenths, or 1.

What is the quotient?

StartFraction 2 y squared minus 6 y minus 20 Over 4 y + 12 EndFraction divided by StartFraction y squared + 5 y + 6 Over 3 y squared + 18 y + 27 EndFraction
StartFraction 2 Over 3 (y minus 5) EndFraction
StartFraction 3 (y minus 5) Over 2 EndFraction
StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction
StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction

Answers

Answer:

StartFraction 3 (y minus 5) Over 2 EndFraction

Step-by-step explanation:

First we need to factor all the polynomials here using quadratic equation (-b +/- √(b^2 - 4ac)) / 2a :

* 2y^2 - 6y - 20 = 2(y^2 -3y - 10)

From quadratic equation, solutions are 5 and -2, which means that we can factor this to;

2(y+2)(y-5)

* y^2 + 5y + 6, in the same manner, is found to have solutions -3 and -2, so it can be factored to:

(y+3)(y+2)

* 3y^2 + 18y + 27 = 3(y^2 + 6y + 9)

Again, solving quadratic equation, we find solution to be -3, so we factor this to:

3(y+3)(y+3)

* 4y + 12 equals to 4(y+3)

Now, let's rewrite our polynomials:

2(y+2)(y-5) • 3(y+3)(y+3) / 4(y+3) • (y+3)(y+2)

We see that we can cancel out some factors here (x+3) and (x+2), so we are left with 6(y-5) / 4 which is 3(y-5)/2.

Answer:

Option B, 3(y-5)/2

Step-by-step explanation:

m=0 passing through p(-2,-2)

Answers

Answer:

The equation of line is y+2=0

Step-by-step explanation:

The equation of line passing through the point [tex](x_{1},y_{1} )[/tex]and having slope  m is

[tex]y-y_{1} = m (x-x_{1}[/tex]

Given slope m=0 and given point is  is (-2,-2)

[tex]y-(-2)=0(x-(-2))[/tex]

[tex]y+2=0[/tex]

therefore equation of the straight line is [tex]y+2=0[/tex]

Therefore the straight is parallel to negative x-axis(y=-2)

A nature center displayed 224 insects in 7 equal groups. How many insects were in each group

Answers

Answer:

32

Step-by-step explanation:

you have to divide 224 by 7

[tex]224 \div 7 = 32 \\ [/tex]

Brian borrowed a 20 foot extension ladder to use when he paints hes house. If he sets the base of the ladder 6 feet from the house, as shown below, how far up will the top of the ladder reach?round to one decimal place.

Answers

Answer:

It is 20.9feet

Step-by-step explanation:

Answer:19.1

Step-by-step explanation:

The left and right page numbers on an
open book add to 333. What are the
page numbers?
and

Answers

the pages would be 166 and 167
Final answer:

The student's question is a math problem involving consecutive numbers and a basic linear equation. The page numbers of an open book are consecutive, implying the left page is x and the right is x+1. Solving the equation x+(x+1)=333 results in the left page being 166 and the right page 167.

Explanation:

The problem can be approached using the basic concept of consecutive integers in Mathematics. If the total sum of the two page numbers is 333, this means we are dealing with two consecutive numbers (since the left and right page numbers of an open book are always consecutive). Let's represent the left page number as x (unknown at this point). So, the right page number would be x+1 setting up our equation as x+(x+1)=333. Solving this equation will help us find the actual page numbers.

First combine like terms in your equation: 2x+1=333. Subtract 1 from both sides to isolate the term with x: 2x = 332 Divide both sides by 2 to solve for x: x = 166. This is our left page number. Substitute x in to x+1 to find the right page number: x+1 = 167. This is our right page number.

So, the left and right page numbers are 166 and 167 respectively.

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A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spent a total of $57.50. Write and solve an equation to determine how many tickets were bought. Let t represent the number of tickets.

Answers

Answer:

they bought 6 tickets

Step-by-step explanation:

8.50t+6.50= 57.50 subtract 6.50

8.50t=51 divide 8.50

t=6

What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of 3x-5y+6

Answers

The area of rectangle is 15x - 25y + 30 sqaure units

Solution:

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

The area of rectangle is given by formula:

[tex]Area = length \times width[/tex]

From given,

Length = 5

Width = 3x - 5y + 6

Substituting the values in formula, we get,

[tex]Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30[/tex]

Thus area of rectangle is 15x - 25y + 30 sqaure units

what is -2x + 8 = -6

Answers

Answer:

The solution is x=7

Step-by-step explanation:

We want to solve for x in the equation

[tex] - 2x + 8 = - 6[/tex]

Subtract 8 from both sides of the equation:

[tex] - 2x + 8 - 8 = - 6 - 8[/tex]

Simplify to get:

[tex] - 2x + 0 = - 14[/tex]

This implies that:

[tex] - 2x = - 14[/tex]

[tex]x = \frac{ - 14}{ - 2} [/tex]

[tex]x = 7[/tex]

The green goober a wildly unpopular hero mixes 3 L of yellow paint was 5 L of blue plate to make a leader is a special green paint for his costume right in equation that relate to why the amount of yellow paint and leaders and be the amount of blue paint in liters needed to make the green goobers special green paint

Answers

Answer:

The equation can be y = 3b/5 or b = 5y/3

Correct statement and question:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.  

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.

Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.

We know that:

y:b = 3:5

Therefore,

5y = 3b, dividing by 5 at both sides we have:

y = 3b/5

And also dividing by 3 at both sides we have:

b = 5y/3

Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.

how do you convert decimals into fractions?

Answers

Just put it over 100
Example 0.45 = 45/100

What is (x+7)3y equal to

Answers

Answer:

(x + 7)3y = 3xy + 21y

Step-by-step explanation:

Expand the expression in the question by using the distributive property. This means you multiply the term (number) outside the bracket with each of the terms (numbers) inside the bracket.

(x + 7)3y                  Expand this

= (x)(3y) + (7)(3y)            Multiply 3y with x and 7

= 3xy + 21y                 Simplified, final answer

A saleswoman earns 20% commission on all the merchandise that she sells . Last month she sold $800 worth of merchandise . How much commission (in dollars) did she earn last month ?

Answers

Answer:

160

Step-by-step explanation:

20 percent of 800 is 160

Final answer:

The saleswoman earned a commission of $160 last month from selling $800 worth of merchandise, given that her commission rate was 20%.

Explanation:

The subject of your question lies in the domain of Mathematics, specifically, a concept taught in Middle School known as percentages. In this case, we're tasked with finding out how much commission a saleswoman earned by selling $800 worth of merchandise, given that she earns a 20% commission on all items sold.

The process for calculating this is straightforward. You multiply the total amount of the sold merchandise by the percentage commission to find out the amount earned. In mathematical form:

Total commission earned = Total amount of items sold * Commission Rate

Substitute the given values into this equation:

Total commission earned = $800 * 20%

To convert the percentage to a decimal, you divide by 100, thus, 20% = 20/100 = 0.2

Hence, Total commission earned = $800 * 0.2 = $160

Therefore, the saleswoman earned a commission of $160 last month from selling the merchandise.

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Zach has above ground pool that has a radius of 5.5 feet. He wants to put a new wall liner around his pool and need to know the circumference of the pool. Find the circumference of the pool to the nearest hundredth

Answers

The circumference of above ground pool is 34.54 feet.

Step-by-step explanation:

Given,

Radius of above ground pool = 5.5 feet

Circumference of a circle is given by 2πr

Circumference of above ground pool = 2πr

r = 5.5, π = 3.14

Circumference of above ground pool = 2*3.14*5.5

Circumference of above ground pool = 34.54 feet

The circumference of above ground pool is 34.54 feet.

Keywords: radius, circumference

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If you know the diameter of a circle, how do you find its circumference?
Group of answer choices

Answers

Answer:

circumference of a circle [tex]C = 2\pi r=\pi (d)[/tex]

Step-by-step explanation:

Explanation:-

Circumference of a circle having radius is [tex]C = 2\pi r[/tex]

we know that the radius of circle is 'r'

The diameter of a circle is passing through the center of the given circle.

there fore the diameter of circle is equal to the two times of radius of given circle so   d= 2 r

Circumference of a circle having diameter is

[tex]C= 2\pi r = 2r(\pi )[/tex]........(1)

we know that d = 2 r

now the equation (1) is [tex]C= d\pi[/tex]

Therefore The circumference of circle by using diameter is

[tex]C = \pi d[/tex]

factorise the following question2xsaquare-8x

Answers

Answer:

2x(x - 4)

Step-by-step explanation:

Given

2x² - 8x ← factor out 2x from each term

= 2x(x - 4) ← in factored form

The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal ground.
a)Find the equation representing the ladder.
b)A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

Answers

Answer:

Part a) [tex]y=-2x+4[/tex]

Part b) The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

[tex]m=(0-4)/(2-0)=-2[/tex]

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=-2\\b=4[/tex]

substitute

[tex]y=-2x+4[/tex]

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

[tex]y=-2x+4[/tex]

substitute

[tex]x=-2x+4\\3x=4\\x=\frac{4}{3}[/tex]

[tex]y=x=\frac{4}{3}[/tex]

therefore

The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Are 8÷2 and 2÷8 equivalent

Answers

Answer:

No, 8 / 2 and 2 / 8 are not equivalent.

Step-by-step explanation:

2 Numbers switched makes a different result.

For example, switching numbers in 82.

As we switch the 8 and the 2, we get 28.

28 is not equivalent to 82.

As we do 8 / 2, when we switch the numbers, we get 2 / 8.

2 / 8 is not equivalent to 8 / 2.

As we solve both equations, 8 / 2 = 4, 2 / 8 = 0.25.

0.25 is not equivalent to 4.

Therefore, 8 / 2 and 2 / 8 are not equivalent.

Hope this helps!

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

[tex]\bf{Are\ 8\div2\ and\ 2\div8\ equivalent?}[/tex]

[tex]\text{The answer to this question is \bf{\underline{NO}}}[/tex] [tex]\checkmark[/tex]

[tex]\bf{Reason: because \ 8\div2=4 \ and\ 2\div8 = 0.25. \ So, both\ gives\ you}\\\bf{different\ answers\ and \ NOT\ the\ same\ answers}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Use the bank of numbers below,
Which number makes each equation below true?
72 6n + 8 = (n + 2)(n + )
- 160 - 63 = (n - 7)(n + 0)
om - 17 n + 14 = (2n + 7)(-3n+2)
13 - 39 - 18 = (0 - 600 + D)
202 * 100 * 12 = 0(+ 2)(v + 3)
143? * 172.45 = (ex - 5)(2x + 1)
522-4-4(5x + 4)(x + C)

Answers

Answer:

Look at the photo below for the answer.

:)

Answer: 4

Step-by-step explanation:

What is 2,731 divided by 31 with a remainder

Answers

Answer:?

Step-by-step explanation:

not sure..

sharon rives 30 mi at 60 mi/h and 60 mi at 30 m/h. what is sharons average speed, in miles per hour, for the whole trip ?

Answers

Answer: 45mph

Step-by-step explanation: to solve this, all you have to do is add all of your data, and divide it by the number amount of data you have

Answer:

36 miles per hour

90miles/2.5hr = 36

sorry for all the pictures just help me pls

Answers

Answer:

The yellow table

Step-by-step explanation:

Because when 9+12=21 or 2+6+2+6+5=21

Its most likely going to show the results of the spinner when spun 20 times.

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In which region of the electromagnetic spectrum (x-ray, visible, microwave, etc.) does this photon belong? jems confifence about the outcome of the trial helps Match the following. 1 . congruent circles the set of all points in a plane that are at a given distance from a given point in the plane 2 . circle two or more circles that lie in the same plane and have the same center 3 . concentric circles circles that have equal radii 4 . diameter a chord of a circle that contains the center of the circle 5 . radius a segment joining the center of a circle to a point of the circle #14 Lia spend $4 more onher backpack than Kiera.Write an algebraicexpression that representsthe situation. Give the balanced equation for the following.The combustion of liquid butanol (C4H9OH) forms carbon dioxide and water vapor. A combustion reaction refers to a reaction of a substance with oxygen gas. (Use the lowest possible coefficients. Include states-of-matter under the given conditions in your answer.) 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