Answers
Measure of one of the vertical angle is 156°
Solution:
The measure of angles given are (x + 104)° and 3x°.
The given angles are vertical in order.
If two lines meet at a point, then the angle formed in vertical positions are equal.
That is vertically opposite angles are equal.
⇒ 3x° = (x + 104)°
⇒ 3x° = x° + 104°
Subtract x° on both sides of the equation to equal the expression,
⇒ 3x° – x° = x° + 104° – x°
⇒ 2x° – x° = 104°
⇒ 2x° = 104°
Divide both sides of the expression by 2, we get
⇒ x° = 52°
Substitute x° = 52° in one of the vertical angle.
3x° = 3 × 52° = 156° (or)
x° + 104° = 52°+ 104° = 156°
Hence the measure of one of the vertical angle is 156°.
Related Questions
M - 2 3/4 = 6 1/2 what does the m equal
Answers
Answer:
Step-by-step explanation:
6 1/2 + 2 3/4=M
M=9 1/4
What is the sum of 197+413 in expression
Answers
Answer:
197+413
=197+413
=610
Step-by-step explanation:
this is how i was taught
Quadrilateral ABCD has 2 sets of parallel sides, 4 congruent angles, and 4 congruent
sides. What are all the classifications for Quadrilateral ABCD? Mark all that apply.
Parallelogram
Rectangle
Trapezoid
Square
Kite
Rhombus
Answers
Answer:
It can be a parallelogram, a square, a rectangle and rhombus too.
Answer:
There are many special types of quadrilateral.
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.
A rectangle has all the properties of a parallelogram, plus the following:
The diagonals are congruent.
A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi . (I love that word.)
A rhombus has all the properties of a parallelogram, plus the following:
The diagonals intersect at right angles.
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
Step-by-step explanation:
you should be able to find your answer in this i rlly hope it helps you
17 more than Rick's score is 45.
Use the variable r to represent Rick's score.
Answers
Here is the equation representing Rick's score:
17 + r = 45
Solving for r, we get r = 45 - 17.
So, what is 45 - 17?
the graph of f(x)=|x| is reflected across the x-axis, moved 2 units to the right and 7 units down. What is the function?
Answers
The transformed function after reflecting f(x)=|x| across the x-axis, moving it 2 units to the right, and 7 units down is f(x)=-|x-2|-7.
Explanation:The original function is f(x)=|x|.
When the graph of the function is reflected across the x-axis, it changes the sign of the output or y-coordinate.
Thus, the absolute value function becomes f(x)=-|x|.
When this function is moved 2 units to the right, it results in a shift in the coordinate of x within the function, thus becoming f(x)=-|x-2|.
Lastly, when the function is moved 7 units down, 7 is subtracted from the function, resulting in the final equation of f(x)=-|x-2|-7.
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The sum of two numbers is 52. The larger number is 8 more than the smaller number. What are the numbers?
Answers
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Final answer:
The two numbers are 22 and 30, with the smaller number being 22 and the larger one being 30 (which is 8 more than the smaller number).
Explanation:
The sum of two numbers is 52, and the larger number is 8 more than the smaller number. Let's denote the smaller number as x and the larger number as x + 8. The equation to represent their sum is:
x + (x + 8) = 52
By combining like terms, the equation simplifies to:
2x + 8 = 52
Subtract 8 from both sides of the equation to isolate the term with x:
2x = 44
Divide by 2 to solve for x:
x = 22
Now that we have the value of the smaller number, we can find the larger number:
x + 8 = 22 + 8 = 30
So, the two numbers are 22 and 30.
Tina has $220 in her account. Cliff has $100 in his account. Starting in July, Tina adds $25 to her account on the first of each month, while Cliff adds $35 to his. How many dollars will they have in their accounts when the amounts are the same
Answers
Answer:
Both accounts will have $450
Step-by-step explanation:
Tina y= 25x+220
Cliff y= 35x+100
we can use substitution to solve this problem so the formatting would be:
25x+220=35x+100
subtract 25x from both sides
220=10x+100
Subtract 100 from both sides
120=10x
Divide both sides by 10
12=x
now that we have an x value we can plug it into either equation.
y=100+35(10)
y=100+350
y=450
find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an approximation for pi.
Answers
Answer:
2794 m^2
Step-by-step explanation:
Area of Triangle - Area of Circle
1/2bh - piR^2
4050 - 1256
= 2794
The approximate area of the shaded region is, 2794 m²
What is Area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given a right triangle with a circle cut out of it,
Area of circle = π*Radius²
Area of triangle = 1/2*base*height
Area of circle = π*20² = 1256 m²
Area of triangle = 1/2*90*90 = 4050 m²
Area of the shaded region = Area of triangle - Area of circle
Area of the shaded region = 4050 - 1256 = 2794 m²
Hence, The approximate area of the shaded region is, 2794 m²
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Five times a number , subtracted from ten , is triple the number . Find the number.
Answers
The value of the variable number x will be 1.25.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Let x be the number. Then the Five times a number is written as 5x. Then the expression will be
⇒ 10 - 5x
The triple number is written as 3x. Then the equation is given below.
10 - 5x = 3x
Simplify the equation, then we have
10 = 3x + 5x
10 = 8x
x = 10 / 8
x = 1.25
The value of the variable number x will be 1.25.
More about the Algebra link is given below.
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Final answer:
The algebraic equation set up from the problem 10 - 5x = 3x leads us to find that x = 1.25. Thus, the number in question is 1.25.
Explanation:
The question describes an algebraic problem where we are trying to find a particular number. According to the problem, five times this number, when subtracted from ten, equals three times the number. To find the number, we set up the equation based on the given information:
10 - 5x = 3x
Where x is the number we are trying to find. Now, we will solve for x:
Add 5x to both sides of the equation to get all x terms on one side:
10 = 3x + 5x
Combine like terms on the right side:
10 = 8x
Divide both sides by 8 to solve for x:
x = 10/8
Simplify the fraction:
x = 1.25
So, the number we were seeking is 1.25.
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up and solve an inequality to calculate the maximum number of games you can purchase
Answers
Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
what is n/8=11/5 solve for n
Answers
Answer:
n = 17.6
Step-by-step explanation:
Cross-multiply and you have:
5 * n = 11 * 8
5n = 88
n = 88/5 = 17.6
2 litre 450 ml mustard oil was used from a can of 5 litre in a month. How much is left? For how many months in all can it be used?
Answers
Answer:
Step-by-step explanation:
1 liter = 1000 ml....so 2 liters and 450 ml = (2* 1000) + 450) = 2450 ml
5 liters = (5 * 1000) = 5000 ml
5000 ml - 2450 ml = 2550 ml or 2 liters and 550 ml <== this is how much is left
so he used 2450 ml in 1 month....and he has 5000 ml
5000/2450 ≈ 2.04 months <=== it will be all used up
Answer:
Step-by-step explanation:
1 litre = 1000 ml
5 liter = 5 * 1000 = 5000 ml
2 liter 450 ml = 2 liter + 450 ml = 2000 ml + 450 ml = 2450 ml
Oil left = 5000 - 2450 = 2550 ml
2550 - 2450 = 100 ml
4 liter 900ml is used in two months and 100 ml will be left over
Suppose we want to choose 2 objects, without replacement from the objects pencil, eraser and desk
Answers
The question is about finding the number of ways to choose 2 items without replacement from a set of 3 items using combinatorics, and there are 3 different ways to do so.
The question deals with the concept of combinations in probability and combinatorics. When choosing 2 objects from a set of 3 items (a pencil, an eraser, and a desk) without replacement, we can use the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose.
In this case, we have 3 items and we want to choose 2, so we plug the values into the formula to get the number of combinations without replacement.
Using the combination formula, C(3, 2) = 3! / (2! × (3-2)!) = 3.
Therefore, there are 3 different ways to choose 2 objects from the set of a pencil, an eraser, and a desk.
Which function models the sequence -5, -7,-9, -11, ...?
Answers
Answer:
-13
Step-by-step explanation:
add two but put a negative .
What’s the slope of y=-7x+5
Answers
Answer:
m=-7
Step-by-step explanation:
The slope intercept form is y=mx+b.
So, the variable that represents slope is x.
If your plug your equation in, -7 would be the slope.
What is the length of the radius, r?
Answers
Answer:
18 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ← r is the radius
Given
C = 36π, then
2πr = 36π ( divide both sides by 2π )
r = [tex]\frac{36\pi }{2\pi }[/tex] = 18
What is the values of x and y?
(5x) + (9y)
Answers
Answer:
x=5 y=9
Step-by-step explanation:
hope this helps :) have a nice day :) :) :)
The tables below show four sets of data:
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
For which set of data will the scatter plot represent a positive linear association between x and y?
Set A
Set B
Set C
Set D
Answers
Answer: Set A
Step-by-step explanation:
Because both x and y have to have a even number.
Example: (1,2) (2,4)...ect
For which value of x is the equation 3x + x = 2x + 24 true?
A) 3
B) 4
C) 6
D) 12
do you guys know the answer?
Answers
Answer:
D) 12
Step-by-step explanation:
3x+x=2x+24
4x=2x+24
4x-2x=24
2x=24
x=24/2
x=12
PLEASEEE HELPPP ASAPP! THANK YOU LOTS!! <3 (7TH GRADE MATH)
btw January: -5/8 and July: 6 5/8
Answers
Answer:
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= -3.4 cm)
Step-by-step explanation:
i) change in water level over the course of 9 months =
[tex]- \frac{5}{8} - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6\frac{5}{8} - 3.2 + 0.3[/tex]
= [tex]-0.625 - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6.625 - 3.2 + 0.3[/tex]
= -3.4
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= - 3.4 cm)
Need to show my work
Answers
Answer:
[tex]\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}[/tex]
[tex]\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}[/tex]
Answer:
Step-by-step explanation:
y = 3x/4 .........(1)
5x/2 + 2y = 5 .......(2)
Putting (1) into (2)
5x/2 + 2(3x/4) = 5
5x/2 + 3x/2 = 5
Multiply each term by 2
5x + 3x = 10
8x = 10
x = 10/8
x = 5/4
x = 1 1/4
And y = 3x/4
y = 3(5/4) ÷ 4
y = 15/4 ÷ 4
y = 15/(4×4)
y = 15/16
If names a major arc of a circle, then must be a a) minor arc b)major arc c) semicircle
Answers
Answer:
should be a
Step-by-step explanation:
Hank has eight action figures this is 12 less than the quotient of 60 and the number figures palo has
Answers
Answer:
6
Step-by-step explanation:
hold up hold up so you are saying 60 less than what quotient I'm guessing 68 divided by 12 so the answer would be 6
what is the slope of (1,2) and (4,11)
Answers
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 11)
m = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Answer:
3
Step-by-step explanation:
y2 - y1/ X2 - X1
11 - 2/ 4-1
9/3
= 3
Find the value of x. Round your answer to the nearest tenth.
A.) 52.6
B.) 52.9
C.) 6.2
D.) 6.5
Answers
Answer:
Option A: 12.5
Step-by-step explanation:
We use trigonometric ratios on this right angled triangle.
[tex]$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $[/tex]
we get:
[tex]$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $[/tex]
Also cos 28° = 0.88
Therefore, x = [tex]$ \frac{11}{0.88} $[/tex]
[tex]$ = \frac{100}{8} =\textbf{12.5} $[/tex]
OPTION A is the answer.
Solve by factoring:
4x² - 8x=0
Answers
Answer:
Step-by-step explanation:
4x² - 8x= 0
4x(x -2) = 0
: 4x = 0 or x - 2 = 0
4x = 0
Dividing by 4
x = 0/4
x = 0
And
x - 2 = 0
x = 2
What is an equation of the line that passes through the points (7,-6)(3,-6)
Answers
Answer:
Step-by-step explanation:
Since both points have their y coordinate as -6, and this is a line,
Then your answer would be y = -6
A builder is putting floor tiles on each of the 15 kitchen floors in an apartment building. Each floor uses 40 tiles. Each floor tile costs $7.
How much does the builder spend on the floor tiles?
Answers
Answer:
$4200
Step-by-step explanation:
15 floor times 40 tiles
15 X 40 = 600 tiles
so 600 tiles times 7 dollars
600 X 7 = 4200 dollars
Final answer:
To find the total cost of floor tiles for 15 kitchen floors, multiply the total number of tiles by the cost per tile. The builder will need 600 tiles (15 floors × 40 tiles) and with each tile costing $7, the total cost comes to $4200.
Explanation:
The student is asking about the total cost of floor tiles needed for an apartment building project. To calculate this, we need to find the total number of tiles used and then multiply this by the cost per tile. There are 15 kitchen floors, with each floor using 40 tiles. Each tile costs $7.
First, let's find out how many tiles are needed in total:
Number of floors × Number of tiles per floor = Total number of tiles
15 floors × 40 tiles per floor = 600 tiles in total
Next, let's calculate the total cost:
Total number of tiles × Cost per tile = Total cost
600 tiles × $7 per tile = $4200
Therefore, the builder spends a total of $4200 on floor tiles for the 15 kitchen floors.
What is the product?
(-3s+2t)(4s-t
Answers
Answer:
-12s^2 + 11st - 2t^2
Step-by-step explanation:
F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54
Answers
Answer:
Step-by-step explanation:
F(x) = 2x + 6
G(x) = - 5x - 9
product of F and G .....the product is the result of multiplication
(2x + 6)(-5x - 9) =
-10x^2 - 18x - 30x - 54 =
-10x^2 - 48x - 54 <====
The answer should be b . hopes this helps