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3 years ago

What is the scale factor of dilation? (1 point)

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). ... Hence, the scale factor is 2 and one-half( ).

Step-by-step explanation:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

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In exercises 5-10, use your new conjectures to calculate the measure of each lettered angle.

Viktor [21]

Answer:

Step-by-step explanation:

I can barely see enough to do 5 and 6. 7 the diagram is unclear and 9 I can't tell where the letters are. I suggest you darken the lines and make sure the letters for the unknowns are clear. Don't hold the paper: just as the picture was taken the image moved slightly. I don't know what to suggest.

Five

The ray defining a is pointing right at the five. That's my first assumption.

You need to find the interior angle connected to a.

Pentagon exterior angles

The total number of degrees for the exterior angles of a pentagon is 360

Supplement of 140 degrees

140 + x = 180 because the exterior and interior angles are supplementary

x = 180 - 140

x = 40

Find a

a + 40 + 60 + 84 + 68 = 360

a + 252 = 360

a = 360 - 252

a = 108

Six

This is really hard to read. Including b, there are three angles that are marked the same

Supplement to 68

180 - 68 = 112

Find b

112 + 43 + x + 89 + x +x = 360

244 + 3x = 360

3x = 116

x = 116/3

x = 38.67

Since b is marked as equal to 1 of the 3 exterior angles that are equal, b = 38.67

That is all I can read.

4 0

4 years ago

Ax-bx+y=z solve for x

Vladimir [108]

Answer:

This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:

ax - bx = z - y

Then, we take x out as it is being multiplied to both a and b:

x(a - b) = z - y

Dividing (a - b) on both sides, we get:

x = (z - y) / (a - b)

Thus, the answer is x= z-y/a-b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

1) 3 (x - y)² - 10 (x-y) + 8

katovenus [111]

Answer:

$(3x-3y-4)(x-y-2)$

Step-by-step explanation:

Given expression:

$3(x-y)^2-10(x-y)+8$

Let u = (x - y):

$\implies 3u^2-10u+8$

To factor a quadratic in the form $ax^2+bx+c$ find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=3 \cdot 8=24$

$\implies b=-10$

Therefore, the numbers are: -6 and -4.

Rewrite $b$ as the sum of these two numbers:

$\implies 3u^2-6u-4u+8$

Factor the first two terms and the last two terms separately:

$\implies 3u(u-2)-4(u-2)$

Factor out the common term (u - 2):

$\implies (3u-4)(u-2)$

Substitute back in u = (x - y):

$\implies (3(x-y)-4)((x-y)-2)$

Simplify:

$\implies (3x-3y-4)(x-y-2)$

3 0

2 years ago

In circle A, ∠BAE ≅ ∠DAE. Circle A is shown. Line segments A B, A E, and A D are radii. Lines are drawn from point B to point E

xeze [42]

Answer:

The missing figure is attached down

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE
Line segments A B, A E, and A D are radii
Lines are drawn from point B to point E and from point E to point D to form secants B E and E D
The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

including angles between them are equal, then the two

triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

8 0

3 years ago

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Which identifies all the integer solutions of the equation |x| = 12?

navik [9.2K]

B. Because the absolute value of a number is the distance of that number from 0.

7 0

3 years ago

Read 2 more answers