Tell whether the angles are complementary or supplementary. Then find the value of x.

Tell Whether The Angles Are Complementary Or Supplementary. Then Find The Value Of X.

Answers

Answer 1

The angles add up to 180° so the angles are supplementary.

The value of x is 31.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

Two angles:

3x + 25  and 2x

These two angles form a straight angle.

Now,

3x + 25 + 2x = 180

5x = 180 - 25

5x = 155

x = 31

When the sum of two angles is 90°, then the angles are known as complementary angles.

When the sum of two angles is 180°, then the angles are known as supplementary angles.

Now,

3x + 25

= 3 x 31 + 25

= 93 + 25

= 118

2x

=2 x 31

= 62

Now,

118 + 62 = 180

Thus,

The angles are supplementary.

The value of x is 31.

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Related Questions

A rectangular prism has the dimensions shown. What is the total area of the prism?

170 cm 2
270 cm 2
310 cm 2
120 cm 2

Answers

Answer:

310 cm 2

Step-by-step explanation:

Solve for x:
please help me

Answers

Answer:

88 is the correct answer.

please mark brainliest

Answer:

88

Step-by-step explanation:

since a straight line is 180

180-92=88

Which angle is a horizontal translation of the first angle?

Answers

Step-by-step explanation:

B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.

A is a reflection.

C is a dilation.

D is a rotation.

A pizza with a radius of 9 inches is sliced into 12 pieces. What is the length of the crust of one piece of pizza?

Answers

Answer:

21.2058333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference = 2 * pi * r

r = 9 inches

Circumference = 18 pi

If there are 12 pieces (all equal) then the length of the crust is

C_part = 18*pi/12

C_part = 3/2 * pi

C_part= 4.71 inches

Colton works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Colton make in a week in which he made $1075 in sales? How much would Colton make in a week if he made xx dollars in sales?

Answers

Answer:

Step-by-step explanation:

If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.

A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C , in centimeters?

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

C.

Step-by-step explanation:

A flowerpot is basically a circle, so you are looking for the circumference of a circle.

Formula: 2 x π x Radius

Help what’s the answer

Answers

It’s A, D and E

Hope this helped :))

Answer:

A,D, and E

ur welcome

Could you please help me

Answers

$10.70 for unit a and $9.30 for unit b

Help ASAP Answer only if you know if you put links I will report

Answers

Answer: It is a reflection over the x axis!

Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.

Jennifer was traveling at a rate of 70 miles per hour. If she continues at this rate, how
many miles did she travel in 9 hours?

Answers

9514 1404 393

Answer:

  630 miles

Step-by-step explanation:

distance = speed × time

distance = (70 mi/h)(9 h) = 630 mi

Jennifer traveled 630 miles in 9 hours.

Which of the following is a solution to system of inequalities shown below?

A. (5 , 5)
B. (5 , -1)
C. (0 , 0)
D. (0 , 1)

Answers

Answer:

Corect Answer: A (5,5)

Step-by-step explanation:

5(5)+2(5)= 35, which is greater than 19

5+5= 10, which is greater than 5

therefore- (5,5) is correct & works for the system of inequalities

If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units

Answers

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

[tex]V_1=a^3[/tex]

Where, a is the side length of cube.

[tex]V_1=(1)^3[/tex]

[tex]V_1=1[/tex]

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

[tex]V_2=l\times b\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=2,b=3,h=4[/tex], we get

[tex]V_2=2\times 3\times 4[/tex]

[tex]V_2=24[/tex]

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{24}{1}[/tex]

[tex]n=24[/tex]

Therefore, 24 cubes can be fit into the given space.

The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find the coordinate of the vertex C'.

Answers

Answer:

[tex]C' =(5,3)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,5)[/tex]

[tex]B = (-2,3)[/tex]

[tex]C = (-5,3)[/tex]

Reflection across y-axis

Required

Find C'

For reflection across y-axis, the rule is:

[tex](x,y) \to (-x,y)[/tex]

So, the image of C is:

[tex](-5,3) \to (-(-5),3)[/tex]

[tex](-5,3) \to (5,3)[/tex]

Hence:

[tex]C' =(5,3)[/tex]

Solve for x.
7x + 9
9x - 19
= X

Answers

Answer:

14

Step-by-step explanation:

7x+9= 9x-19

-2x= -28

x= 14

they are corresponding angles

Answer:

x = 14

Step-by-step explanation:

the angles are corresponding.

corresponding angles theorem states that when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent.

therefore:

7x + 9 = 9x -19

9 = 2x - 19

28 = 2x

14 = x

What is the answer to 156 x 13

Answers

Answer: 156 x 13 = 2,028

Answer:

2028

Step-by-step explanation:

156 x 13 = 2028

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

73

Step-by-step explanation:

48^2 + 55^2 = 5329

square root of 5329 is 73

Answer:73mi

Step-by-step explanation:

10.) 1 and 2 in this diagram are___
a. Complementary
b. Supplementary
c. Congruent
d. Vertical angle

Answers

Answer:

A

Step-by-step explanation:

they are complementary, they add to 90

Can y’all help me on question 21?!

Answers

Answer:

24

Step-by-step explanation:

96 divided by 4 = 24

Answer is a) 24

You can solve this by doing guess and check.

So 4x24 = 96



Assignment: Ratio and Proportion: Molten Lava Cake
You will apply ratios and proportions to help you convert a recipe to serve more people. Use the recipe to solve the problems. The problem is your recipe only serves 8 people. Start by using the information to make 1 serving per person. Use proportions to increase the recipe to serve 30 people.

Molten Lava Cake Recipe:

1 c of sugar
6 squares of bittersweet chocolate
2 squares semisweet chocolate
1 1/4 stick butter
1/2 cup all-purpose flour
1 1/2 cups confectioners’ sugar
3 large eggs
4 egg yolks
1 tsp vanilla extract
2 1/2 tablespoons orange liqueur
Use proportions to increase the recipe to serve 30 people (1 serving per person).
Complete the table to include:

Ratio for one serving (use the table to assist you).
(i.e. If the recipe uses 1 cup of sugar, and the recipe serves 8, the ratio for one serving equals 1/8 cup sugar) thus the answer would be 1/8
Proportions used to increase recipe to 30 servings.
(i.e. for the sugar 1/(8 servings) = x/(30 servings)) thus the answer is 1/8 = x/30
Show the work to solve the proportion. Round your measurement to the nearest half. (i.e. 3.222 teaspoons rounds to 3 teaspoons, 3.666 teaspoons rounds to 3½ teaspoons, 3.89 teaspoons round to 4 teaspoons), thus the answer is 4
Scaled Recipe – Ingredient and new amount needed for 30 servings. Show the exact answer or the rounded measurement, thus the answer is 4.687 or 4 1/2

Answers

Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

4 c of sugar22 ¹/2 squares of bittersweet chocolate7 ¹/2 squares semisweet chocolate4 ¹/2 stick butter2 cup all-purpose flour5 ¹/2cups confectioners’ sugar11 ¹/2 large eggs15 egg yolks4 tsp vanilla extract9 ¹/2 tablespoons orange liqueur.

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

1/8 c of sugar6/8 = 3/4 squares of bittersweet chocolate2/8 = 1/4 squares semisweet chocolate(1 1/4)/8 = 5/32 stick butter(1/2)/8 = 1/16 cup all-purpose flour(1 1/2)/8 = 3/16 cups confectioners’ sugar3/8 large eggs4/8 = 1/2 egg yolks1/8 tsp vanilla extract(2 1/2)/8 = 5/16 tablespoons orange liqueur.

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

(1/8) × 30 = 3.75 c of sugar(3/4) × 30 = 22.5 squares of bittersweet chocolate(1/4)×30 = 7.5 squares semisweet chocolate(5/32) × 30 = 4.6875 stick butter(1/16) ×30= 1.875 cup all-purpose flour(3/16) ×30 = 5.625 cups confectioners’ sugar(3/8)×30 = 11.25 large eggs(1/2) ×30 = 15 egg yolks(1/8) ×30 = 3.75 tsp vanilla extract(5/16) ×30 = 9.375 tablespoons orange liqueur.

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

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Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 88 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)

Answers

The area of the hot tub is 6079.04 in²

How to determine the  area required for the installation of the hot tub?

To determine the approximate area required for the installation of the hot tub. You can use the area of  a circle.

The area of  a circle is given by A = πr²

where r is the radius of the circle

Since the hot tub to have a diameter of 88 inches, the radius will be  88/2 = 44 inches. π = 3.14.

Thus, area of  the hot tub will be:

Area of hot tub = 3.14 × 44² = 6079.04 in²

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Help me again pleaseeeeeeeeee

Answers

Answer:

0.2 recurring I the same as 2/9

Step-by-step explanation:

x=0.2222

10x=2.2222

10x-x=9x

9x=2

divide both sides by 9

9x÷9=x

2÷9=2/9

Hope it helps:)

I’m trying to solve this problem I need to convert it to base 5

Answers

Answer: The answer is 29,446,941,856

Step-by-step explanation:

Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,

Answers

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

what is coordinates ?

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

Axis of symmetry:

x=9 /2

Vertex (minimum point): (9/2,−55/2)

X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)

Y-intercept: (0,13)

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

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Find Sn or the sum for the given arithmetic series a1=8,d=-9,n=17

Answers

Here's the solution,

we know,

[tex] \large \boxed{Sn = \frac{n}{2}[ 2a _1 + (n - 1)d ] }[/tex]

=》

[tex]Sn = \dfrac{17}{2} [ (2 \times 8 )+ (17 - 1) \times ( - 9) ][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + (16 \times - 9)][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + ( - 144)][/tex]

=》

[tex]Sn = \dfrac{17}{2} \times (- 128)[/tex]

=》

[tex]Sn = 17 \times ( - 64)[/tex]

=》

[tex]\huge\boxed{Sn = - 1088}[/tex]

ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.

Pls hurry!!

Answers

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

There is a pair of parallel sides in the following shape.

Answers

Answer:

A = 38.5 units²

Step-by-step explanation:

the figure has one pair of parallel sides and is therefore a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁ and b₂ are the parallel bases and h the perpendicular height between them.

here h = 7 , b₁ = 5 , b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²

Does the function model exponential growth or decay?
h(t) = 0.25 · 1.56

Answers

Answer:

this function model grows.

Step-by-step explanation:

The value of b, 1.56, is greater than 1.

Which is the constant of variation, k, if y=kx, and y=3 when x=4?

3/4

4/3

3

4

Answers

Answer:

k = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

given variation equation

y = kx

to find k substitute y = 3 and x = 4 into the equation and solve for k

3 = 4k ( isolate k by dividing both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

area of 6ft 10ft 14ft figure

Answers

Answer:

209.25

Step-by-step explanation:

Calculate the areas of the triangle, rectangle, and half circle, then add them together:

triangle = 1/2bh = 1/2(6)(10) = 30

rectangle = bh = (14)(10) = 140

half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25

radius = r = D/2 = 10/2 = 5

Total area = 30 + 140 + 39.25 = 209.25

Answer:

209.25 ft²

Step-by-step explanation:

To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.

Area of the triangle.

[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]

Area of the rectangle.

[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]

Area of the semi circle.

[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]

Add up all the areas to find the total area.

[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]

Hellooooooooooooooooooooo

Answers

Answer:

Hi.

Step-by-step explanation:

Heya. How you doing?
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