Below are statements that can be used to prove that the triangles are similar.
1.
AB=BC
ZY
YX
Z
2. ZB and LY are right
angles.
3.7
345x
-5-3-2-1₁.
0
4.?
B
Which two statements are missing in steps 3 and 4?
OLX = AABC-AZYX by the SAS similarity theorem.
O 5
4+
3+
2+
271
in bo & mp
-3-
U

(4x-6)° and (x+6y)° are both 90° because they are perpendicular, so:

4x-6= 90

4x= 96

x= 24

x+6y=90

24+6y=90

6y=66

y=11

The rate of change of the function the height of a plant is gotten as; D: 0.7

To find the rate of change, we will use the formula;

Rate of change = (y2 - y1)/(x2 - x1)

From the given table, we can solve for the rate of change by picking two consecutive points to get;

Rate of change = (9.6 - 8.2)/(2 - 0)

Rate of change = 1.4/2

Rate of change = 0.7

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Answer:

14

Step-by-step explanation:

|-14|=14

Circle the first line.

His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.

The correct steps are:

2x - y = 18

2x - (4x + 2) = 18

2x - 4x - 2 = 18

-2x - 2 = 18

-2x = 20

x = -10

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

Answer:

109

Step-by-step explanation:

[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]

[tex](a-b)(a+b)=a^2-b^2[/tex]

Therefore

[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]

Answer:

(4,5)

Step-by-step explanation:

Hello!

If you move 5 units to the left, you change the x-value in (x, y) by -5.

Let the original x-value be x:

The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.

The original point was at (4,5)

Answer:

You started at (4, 5)

Step-by-step explanation:

The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)

The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units

This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.

Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.

We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.

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Answer: A on edge

Step-by-step explanation:

because i said so

Answer:

3:7

Step-by-step explanation:

60 ratio 140

Divide both sides by 10

6 ratio 14

Divide both sides by 2

3 ratio 7

3:7 ✔️

Answer:

23 because ya

Step-by-step explanation:

uesssssdssssssss

The type of quadrilateral is rectangle.

What is distance formula?

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

Given coordinates: a(1, -1), b(0, 3), c(5, 5), and d(6, 1).

ab= √(0-1)² + (3+1)²

ab= √17

bc= √(5-0)² + (5-3)²

bc= √29

cd= √(6-5)² + (1-5)²

cd= √17

da=√(6-1)² + (1+1)²

da= √29

ac=√(5-1)² + (5+1)²

ac= √16+36

ac= √52

bd =√(6-0)² + (1-3)²

bd= √36+4

bd= √40

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Answer:

PARALLELOGRAM

Step-by-step explanation:

opposite sides are congruent, but it doesn't have 4 right angles or 4 congruent sides; this means it's a parallelogram (and not a rectangle or rhombus)

Answer:

35×(m)=c

Step-by-step explanation:

m=months

c=cost

The likelihood that the shirt is large given that it is red is 14.29%

Probability determines the likelihood that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The likelihood that the shirt is large given that it is red = number of large red shirts / total number of red shirts

5/35 = 14.29%

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Step-by-step explanation:

please mark me as brainlest

The solution to inequality is less than the negative of 21. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−(1/3)x + 10 > 17

Then the solution to the inequality will be

−(1/3)x + 10 > 17

       −(1/3)x > 17− 10

        −(1/3)x > 7

When the sign is changed then the equality sign also changed.

(1/3)x < −7

     x < − 21

The value of x is less than the negative of 21.

Thus, the correct option is C.

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Answer:

6.4 x 10¹¹

Step-by-step explanation:

(8 x 10⁵)(8 x 10⁵) = 6.4 x 10¹¹

Step-by-step explanation:

We are going to plug -3 into the equation of f(x) = 4x²-2.

f(-3) = 4(-3)²-2

f(-3)=36-2

f(-3)=34

The answer to this question is 34.

I hope this helps!! :)

Answer:

y=1

Step-by-step explanation:

In order to solve this problem, you have to substitute 3 in for x. Then you would multiply 3 by 3, which equals 9. Subtract 9 from 10, equals 1.

I included a picture so you can see the work.

Hope this helped!

Answer:

Your supposed to multiply 5*5*5*5*5*5 so the answer is 15,625

Answer:

y=7x

Step-by-step explanation:

The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)

Answer:

y=7x

Step-by-step explanation:

edge review 2022

Answer:

The choice C.

[tex] {x}^{ \frac{5}{2} } [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]

Or ;

[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]

Answer:

true jufhjjzjsjjajajw

Answer:

32 in²

Step-by-step explanation:

length ratio = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]

area ratio = ([tex]\frac{2}{3}[/tex] )² = [tex]\frac{4}{9}[/tex]

smaller area = 72 × [tex]\frac{4}{9}[/tex] = 8 × 4 = 32 in²

The area of the smaller shaded triangle is approximately 31.98 square inches.

The area of a triangle is given by the formula: A = 1/2 * base * height. In an isosceles trapezoid, the two parallel sides are equal in length. In this case, the base lengths of the trapezoid are 12 inches and 18 inches.

To find the area of the larger shaded triangle, we need to determine its base and height.

The base of the larger shaded triangle is the same as the length of the larger base of the trapezoid, which is 18 inches.

Let's denote the height of the larger shaded triangle as h1. Using the formula for the area of a triangle, we have: 72 = 1/2 * 18 * h1 To solve for h1, we can multiply both sides of the equation by 2 and divide by 18: 2 * 72 = h1 h1 = 144 / 18 h1 = 8 inches

So, the height of the larger shaded triangle is 8 inches. Now, let's find the area of the smaller shaded triangle. The base of the smaller shaded triangle is the same as the length of the smaller base of the trapezoid, which is 12 inches. Let's denote the height of the smaller shaded triangle as h2. Using the formula for the area of a triangle, we have: A = 1/2 * base * height A = 1/2 * 12 * h2

We don't know the value of h2, but we do know that the two shaded triangles are similar because they have equal angles. This means that the ratio of the heights of the two triangles is the same as the ratio of their bases. The ratio of the bases of the two triangles is 18/12 = 3/2.

So, the ratio of the heights of the two triangles is also 3/2.

To find the height of the smaller shaded triangle, we can set up a proportion: h2 / 8 = 2/3 Cross-multiplying, we have: 3 * h2 = 8 * 2 3 * h2 = 16 h2 = 16 / 3 h2 = 5.33 (rounded to two decimal places)

So, the height of the smaller shaded triangle is approximately 5.33 inches.

Now, we can find the area of the smaller shaded triangle using the formula: A = 1/2 * base * height A = 1/2 * 12 * 5.33 A = 31.98 square inches (rounded to two decimal places)

Therefore, the area of the smaller shaded triangle is approximately 31.98 square inches.

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n = 66

Step-by-step explanation:

you can make a proportion 3/99 = 2/x

[tex] \frac{3}{99} = \frac{2}{x} [/tex]

99 * 2= 198

3 * x = 3x

so the equation would be 198 = 3x

than do 198 ÷ 3 on ur calculator

so x (or n in this context) would equal 66

Answer:

1.8125 lb(pounds)

Step-by-step explanation:

there are 16  oz in 1 lb

so 29/16 = 1.8125

Answer:

C

Step-by-step explanation:

C. x=7, y=5

The percentage change in perimeter is 100%.

The percentage change in area is 300%

The perimeter of the sandbox = 2l + 2w

where

Therefore,

perimeter = 2(10) + 2(6)

perimeter = 20 + 12 = 32 ft

The area of the sand box = lw

area = 10 × 6 = 60 ft²

If the length and width are doubled,

length = 2(10) = 20 ft

width = 2(6) = 12 ft

hence,

perimeter = 2(20) + 2(12) = 40 + 24 = 64 ft

area = 12 × 20 = 240 ft²

Therefore,

percentage change in perimeter = 64 - 32 / 32 × 100 = 100%

percentage change in area = 240 - 60 / 60 × 100 = 18000 / 60 = 300%

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The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.

Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed.  Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

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Answer:

4

Step-by-step explanation:

from 13 to 15 you added two more so you have to do 8 divided by 2 which is 4