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Lubov Fominskaja [6]
3 years ago
5

In△XYZ , XY¯¯¯¯¯¯=7in , YZ¯¯¯¯¯=5in , and XZ¯¯¯¯¯=4in . This triangle is reflected across the x-axis to result in △X'Y'Z' . Whic

h is true? A X'Z'¯¯¯¯¯¯¯=2in B X'Y'¯¯¯¯¯¯¯=7in C Y'Z'¯¯¯¯¯¯¯=10in D Perimeter of △X'Y'Z'=32in
Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Reflection is a transformation that preserves lengths.

Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.

This means that corresponding sides have the same lengths:

  • XY = X'Y' = 7 in;
  • XZ = X'Z' = 4 in;
  • YZ = Y'Z' = 5 in.

Find the perimeters of both triangles:

P_{XYZ}=XY+XZ+YZ=7+4+5=16\ in\\ \\P_{X'Y'Z'}=X'Y'+X'Z'+Y'Z'=7+4+5=16\ in

Hence, only option B is true.

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A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five
exis [7]

Answer:

\dfrac{14}{29}

Step-by-step explanation:

Let <em>P(A) </em>be the probability that goggle of type A is manufactured

<em>P(B) </em>be the probability that goggle of type B is manufactured

<em>P(E)</em> be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

<em>P(A)</em> = 30%

<em>P(B)</em> = 70%

<em>P(E/A)</em> is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

P(A \cap E) will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

P(B \cap E) will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

P(E \cap A) = P(A) \times P(E/A)

P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%

P(E \cap B) = P(B) \times P(E/B)

P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%

P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

P(B/E) = \dfrac{P(E \cap B)}{P(E)}

\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}

So, the required probability is \dfrac{14}{29}.

7 0
3 years ago
Will give brainliest if you are right.
miv72 [106K]

Answer:

x-int (2, 0)

y-int (0, 3)

General Formulas and Concepts:

  • The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis.
  • The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

<u>Step 1: Locate x-intercept</u>

x-int (2, 0)

<u>Step 2: Locate y-intercept</u>

y-int (0, 3)

8 0
3 years ago
Paul makes 3 5/6 dozen cookies. He gives each of his friends 1/6 dozen cookies.
AveGali [126]
If he gives ALL of the cookies away..

3 5/6 = 6/6 + 6/6 + 6/6 + 5/6

6+6+6+5 = 23

Paul has 23 friends. (if he takes 1/6, then he has 22)

hope this helps
7 0
3 years ago
Brianna's chocolate chip cookie recipe will make about 3 dozen chocolate chip cookies the recipe calls for 2 1/4 cups of flour a
coldgirl [10]
Write and solve an equation of ratios to answer this.

2.25 cup              x
-------------- = -------------
0.375 cup          1 cup
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cross-multiplying, 2.25 = 0.375x.  Solving for x, x = ---------- = 6
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Brianna would need to use 6 cups of flour if she wants the mixture to contain 1 cup of baking soda.

6 0
3 years ago
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You rent an apartment that costs $900 per month during the first year, but the rent is
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Answer:1493.1

Step-by-step explanation:

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2 years ago
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