The figures shown are similar.
What is the scale factor?

A. 1/4

B. 2/3

C. 3/4

D. 1/6

Answers

Answer 1

Answer: $24\cdot x=18\n x=(18)/(24)=(3)/(4) \Rightarrow C$

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I have been stuck with this one, and i would like to how to solve this.In each case, determine whether line AB is parallel or perpendicular to CD. (a) A(0, 0), B(0, 1), C(0, 0), D(1, 0). (b) A(0, 1), B(2, 3), C(4, 5), D(6, 7).

"Find the missing side lengths in each pair of similar figures." Someone explain please

Answers

1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.

2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.

What is a triangle?

A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.

1. ΔABC and ΔXYZ are similar.

Therefore, $(AB)/(XY) = (25)/(10)$

⇒ $(AB)/(XY) = 2.5$

Here, $AC = x, XZ = 6$

Therefore, $(AC)/(XZ) = 2.5$

⇒ $AC = 2.5(XZ)$

⇒ $x = (2.5)(6)$

⇒ $x = 15$

Again, $CB = y, ZY = 8$

$(CB)/(ZY)= 2.5$

⇒ $(y)/(8) = 2.5$

⇒ $y = (2.5) (8)$

⇒ $y = 20$

2. For ΔABC

$= \sqrt{AB^(2) - AC^(2)}\n= \sqrt{34^(2) - 16^(2)}\n= √(900)\n= 30$ (Side can't be negative.)

Here, ΔABC and ΔXYZ are similar.

Therefore,

$(BC)/(ZY)\n= (30)/(15)\n= 2$

Now, $AB = 34, XY = x$

Therefore, $(AB)/(XY) = 2$

⇒ $(34)/(x) = 2$

⇒ $x = (34)/(2)$

⇒ $x = 17$

Again, $AC = 16, XZ = y$

Therefore, $(AC)/(XZ) = (16)/(y) = 2$

⇒ $(16)/(y) = 2$

⇒ $y = (16)/(2)$

⇒ $y = 8$

Learn more about a triangle here: brainly.com/question/2338119

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AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2

Type you awsner
Simplify |7 - 10|

Answers

The answer is 3, do the problem in the absolute value marks, then apply the absolute value.

Which expression is equivalent to 64 − 9x2?(32)2 − (3x)2
(32)2 + (−3x)2
(8)2 − (3x)2
(8)2 + (−3x)2

Answers

Answer: Third option.

Step-by-step explanation:

By definition, the number 64 and the number 9 are perfect squares.

A perfect square it that number obtained by squaring a whole number.

In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:

$8^2=64\n3^2=9$

Therefore, you can rewrite the expression $64-9x^2$ as following:

$(8)^2-(3x)^2$

This matches with the third option.

ANSWER

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

EXPLANATION
The given expression is

$64 - 9 {x}^(2)$

Rewrite to get:

${8}^(2) - {3}^(2) {x}^(2)$

Recall that

${a}^(n) {b}^(n) = {(ab)}^(n)$
We apply this property of exponents to the second term.

This gives us

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

The third choice is correct.

Im having trouble on 2 questions... 2 (x-5)=x-8 and 2 (x-5)=x.... can u figure them out and explain how to get them.... thanks

Answers

$2(x-5)=x-8\n2x-10=x-8\n2x-x=-8+10\nx=2\n\n2(x-5)=x\n2x-10=x\n2x-x=10\nx=10$

There is a box. The area of its top is 240 square units, the area of the front is 300 square units and the area of the end is 180 square units.Can you calculate the dimensions of this box with the given data?

Answers

Let the three sides of the box be P, Q and R.

Now we know the area of rectangle is l* b.

P * Q = 240
P * R = 300
Q * R = 180

Let us multiply these three equations:
(P*Q) (P*R) (R*S) = 240 * 300 * 180
P^2 * Q ^2 * R^2 = 12960000
(P*Q*R)^2 = 12960000
P*Q*R = 3600

Now we know that P*Q = 240

Thus R = 3600/240 = 15.

Similarly putting and solving for other variables, we get
P = 20 units
Q = 12 units
R = 15 units

What times 5 equals 70?