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sergeinik [125]
2 years ago
5

1/3 of students at a school are boys. If there are 600 students, how many of them are girls?

Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

400

Explanation:

1/3 of 600 is 200. That represents the boys.

Subtract 200 from 600, you get 400. That represents everybody else in the sample size (in this case, girls).

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Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
Aaden is packing boxes into a carton that is 8 inches long 8 inches wide and 4 inches tall. the boxes are 2 inches long 1 inch w
vredina [299]
I'm sorry no one can answer and where is the question?
Please put in the question and I might be able to help!
8 0
3 years ago
Round 564,938 to the nearest 1000 is it 565000
lord [1]

Answer:

YES!

Step-by-step explanation:

564,938 -> 565,000

BRAINLIEST?

4 0
3 years ago
Find the area of a parallelogram with a base of 5cm and height of 15 cm
Anni [7]

Answer:

think about it right now its easy or use a calculator

Step-by-step explanation:

amazing

7 0
3 years ago
Read 2 more answers
What is 5/10 - 3/20 equal Too?
goldenfox [79]
5/10-30/20 equals 7/ 20
5 0
3 years ago
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