A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle has dimensions of 7 inches×9 inches. What is the area of the figure?

Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Vertical angles are congruent to each other . Vertical angles share the same vertex.

Therefore, angle A and angle B are congruent because they are vertical angle pair.

Therefore,

∠A≅∠B

let

∠B = x

Therefore,

∠A = 2x - 6

Therefore,

x = 2x - 6

x - 2x = - 6

-x = - 6

x = 6

The measure of each angle is 6 degrees.

learn more on vertical angles here: https://brainly.com/question/14753399

Answer:

The answers are A, B, C, and probably F

Step-by-step explanation:

Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.

Hope this helps!

Answer:

  16666.25

Step-by-step explanation:

For rounded values, the minimum value they could have been rounded from is the given value less half its least-significant digit.

That means the minimums are ...

  a: 340 ⇒ 340 -5 = 335

  b: 49.8 ⇒ 49.8 -0.05 = 49.75

Then the minimum product would be ...

  (335) × (49.75) = 16666.25

Answer:

[tex]\boxed{\sf{140}}[/tex]

Step-by-step explanation:

A rectangular prism's volume must be determined in order to solve this problem.

Remember to use this rectangular prism formula:

[tex]\sf{V=l*w*h}[/tex]

L=7 in

W=5 in

H=4 in

Multiply.

7*5*4=140

140 in

Therefore, the correct answer is 140.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

V = 140 cubic units

We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140

Therefore your answer would be:
140 cubic units
Otherwise, known as option C.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + ( - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x + ( - 12)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - 12[/tex]

Step-by-step explanation:

Ans of 8

x + 3x + 2x = 180 (sum of all angle of triangle is 180)

6x = 180

x = 60

Ans of 9

(2x-2)+(x+5)+90 = 180

3x+3+90 = 180

3x + 93 = 180

3x = 180-93

x = 87/3

x = 29

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]

The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For this case, it is specified that y varies directly as x.

That means

[tex]y \propto x\\or\\y = kx[/tex]

At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:

[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]

Thus, the relationship between x and y is: y = 54x

Now, when y = 1080, we get:

[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]

Thus, the value of x when y = 1080 for this condition is when x = 20.

Learn more about directly related variables here:

https://brainly.com/question/13082482

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Answer:

you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.

[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]

Answer: 42.0

Step-by-step explanation:

The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage

the final is 127, and the initial is 103

127 - 103 = 24

24/103 = 0.233

0.233 x 100

= 23.3%

Thus, The percentage of trench coats sold increased by 23. 3%.

Learn more about percentages;

https://brainly.com/question/13450942

Let the amount of money Kim has be k then,

ATQ,

The amount of money Melanie has

The amount of money Rachel has

Given that,

Kim has $20,

so,

The amount of money Melanie has

The amount of money Rachel has

Answer:

y = [tex]4^{10}[/tex]

or

y = 1048576

Step-by-step explanation:

Function:

y = [tex]q^{x}[/tex]

Given values:

q = 4

x = 10

Substitute the given values into the function:

y = [tex]4^{10}[/tex]

or

y = 1048576

hope this helps and is right!! p.s. i really need brainliest :)

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.

Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.

Total cost = cost per gram x mass x number of bon bon

Mass = density x volume

1.28 x (4/3 x 3.14 x 1.1³) =5.35

Cost = 5.35 x 0.03 x 190 = $30.49

To learn more about multiplication, please check: brainly.com/question/3385014

Answer:

20units^2

Step-by-step explanation:

Answer:

20units^2

Step-by-step explanation:

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.

Hey there!

First, let's convert 4 into a fraction: 4/1

Now, multiply fractions:

1/4*4/1=1

is 1 greater than 4? of course not.

let's try Option B:

5/6*4/1

5 times 4 and 6 times 1

20/6

reduce the fraction

10/3

or

3+1/3 (less than 4)

Is it Option C? Let's try/

3/2*4/1

3 times 4 and 2 times 1

12/2

6

and 6 is greater than 4. Bingo!

How about Option D?

9/10*4/1

9 times 4 and 10 times 1

36/10

18/5

Hence, the answer is

[tex]\boxed{\boxed{\bold{option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

Answer:

24

Step-by-step explanation:

I did this question before.

Answer:

∠ 5

Step-by-step explanation:

Given;

Which angle number represents ∠ WYU

picture

Solve;

First, we have to find the letters WYU in the picture.

Knowing that, WY is an edge, YU is an edge.

And these two sides intersect at Y.

So you get ∠ WYU. As shown in the figure in the picture, 5 represents

∠ WYU

~Learn with Lenvy~

Answer:

D

Step-by-step explanation:

down 110 ft over time 10 min
time can't be negative

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]

I am joyous to assist you at any time.

[tex] \huge \underline\text{ Hello There}[/tex]

[tex] \text{We know, Pythagoras Theorem}[/tex]

[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]

[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]

[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]

[tex] \huge \underline\text \red {Solution}[/tex]

[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]

[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]

[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

I hope this helps!!

Step-by-step explanation:

2 m corresponds to 0.4 cm on a blueprint.

so,

2 m / 0.4 cm = 200 cm / 0.4 cm

our fun the point of view of the blueprint

0.4 cm / 200 cm

the scale on a map or blueprint is usually normed to one unit on the blueprint :

0.4/200 × f/f = 1/(200×f)

0.4 × f = 1

f = 1/0.4 = 2.5

so, our scale is

(0.4 × 2.5) / (200 × 2.5) = 1 / 500

that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.