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2 years ago

Find the values of the variable

Mathematics

1 answer:

Leno4ka [110]2 years ago

8 0

Answer:

Step-by-step explanation:

a = 180 - 100

= 80 degrees

b = 180 - 80

= 100 degrees

c = 180 - 135

= 45 degrees

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HELP ASAP

qwelly [4]

The center of dilation Y is the point from which the other points expand or

contract away from or towards.

The true statement about A'Y' is; Line A' Y' passes through the center of dilation..

The given parameters are;

The scale factor of dilation of ΔXYZ = 3

The point of dilation = Point Y

Line YA is vertical (perpendicular) to the base XZ

In a dilation transformation, the extension or compression of the points

are relative to the center of dilation.

Following the dilation, the line AY is extended along AY to A' Y', therefore,

passing through the point Y which is the center of dilation.

The option that is true is therefore; Line A' Y' passes through the center of

dilation (which is written as line A prime Y prime passes through the center

of dilation).

Learn more here:

brainly.com/question/19246734

4 0

3 years ago

Find x, y, and z. ⠀⠀⠀⠀⠀⠀⠀⠀

fomenos

Answer:

Not sure but :

Y=15/7

X=13/5

Z=26/7

I will check them later and tell you if they are right or not .

Step-by-step explanation:

y power 2 : 31 × 8 = 248

Rad 248 = 15/7

x power 2 : 23 × 8 = 184

Rad 184 = 13/5

31 power 2 : (15/7) power 2 + z power 2

961 = 246/49 + z powe 2

z power 2 = 714/51

rad 714/51 = 26/7

z = 26/7

6 0

3 years ago

What is the area of the circle below, in terms of ?90 metersO 457O 907O 1807O 81007134

defon

Step 1: Write out the formula

$\begin{gathered} \text{Area of a circle = }\pi r^2 \\ \text{where } \\ r=\text{ the radius of the circle} \end{gathered}$

Step 2: Write out the given values and substitute them into the formula

$r=90m$

Therefore,

$\text{ the area of the circle = }\pi(90)^2=\pi\times8100=8100\pi m^2$

Hence, the area in terms of pi is

$8100\pi$

The last choice is the correct answer

3 0

1 year ago

Please show work and correct answers ONLY!

amm1812

April 11 : 3 hours 15 minutes

April 12 : 3 hours

April 13 : 4 hours 30 minutes

April 14 : 5 hours 15 minutes

April 15 : 2 hours 45 minutes

total : 18 hours 45 minutes

10.50 * 18.75 = $196.875

answer: $196.88

45 1/4-> 45.25 * .5 = 22.625 = 22 5/8

gusset plate :

5 3/4 -> 5.75 * .5 = 2.875 = 2 7/8

3 1/2 -> 3.5 * .5 = 1.75 = 1 3/4

47 1/4 -> 47.25 * .5 = 23.625 = 23 5/8

2 * .5 = 1

5 0

2 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago