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3 years ago

Please be kind and help me on this question. WARNING: only if your good at math thank you

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Short Answer: The first three are absolutely true. Congruency is maintained if all you are doing is shifting the figure 8 spaces away. Since the figures are congruent, their corresponding parts are equal and the statements made are always true. That's the guiding principle.

A is true. See the short answer.

B is True. You have gone 8 units away. The distance between the old G and the new one is 8 units. This is not a congruency property but it is true because it is given. You haven't altered the shape or rotatated it.

C is true by conguency. You have just shifted things 8 units. You have maintained equality and you have maintained distance between corresponding parts.

That leaves D. If the figures are regular, that will be true. If they are not regular, non corresponding external angles cannot be guaranteed to be true.

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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per

BartSMP [9]

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

40x+20y = 360 x+y = 14 20y = -40x+360

$\frac{-20y}{20}$ = $\frac{-40x+360}{20}$

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3 years ago

London mixes 6 parts yellow paint with 3 parts blue paint to make green. She adds 1 more part of yelow to change the

Stella [2.4K]

Answer:

The new ratio is $\frac{7}{3}$ ⇒ (D)

Step-by-step explanation:

<em>The given information is</em>

6 parts of yellow paint with 3 parts of blue paints to make green paint
The yellow paint adds by 1 part

We need to find the ratio of yellow to blue

<em>Let us find the correct answer</em>

∵ The yellow = 6 parts

∵ The yellow adds by 1 part

∴ The yellow = 6 parts + 1 parts = 7 parts

∵ The blue = 3 parts

∵ The ratio of yellow to blue = $\frac{yellow}{blue}$

∴ The ratio of yellow to blue = $\frac{7}{3}$

The new ratio is $\frac{7}{3}$

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3 years ago

Angle A and Angle B are Complementary Angles. If Angle A measures 40 degrees, what is the measure of Angle B? *

IceJOKER [234]

Answer:

50 degrees

Step-by-step explanation:

If angle A and angle B are complementary, that would mean that their sum is 90 degrees. A + B = 90 . We know that angle A is 40, so 40 + B = 90. It becomes a one step equation. Subtract both sides by 40. 90 - 40 = 50. Angle B is equal to 50 degrees.

6 0

3 years ago

Read 2 more answers

What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.

Igoryamba

The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.

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3 years ago

A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do no

Tatiana [17]

Answer:

Option D.

Step-by-step explanation:

Not everyone who plays band is going to be in sports or vise versa

Hope this helped!

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3 years ago