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inn [45]
2 years ago
14

In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠PRQ ≅ ___ A. ∠SRT B. ∠RST C. ∠STR D. ∠T

Mathematics
1 answer:
Oduvanchick [21]2 years ago
4 0

The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

<h3>Similar triangles </h3>

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

∠PQR ≅ ∠STR

∠PRQ ≅ ∠SRT

∠QPR ≅ ∠TSR  

Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

Learn more on Congruent Triangles here: brainly.com/question/28032367

#SPJ1

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6 0
4 years ago
10. The ratio of the measures of the sides of a
Tomtit [17]

Answer:

42

Step-by-step explanation:

10x+15x+6x=217

31x=217

217/31=7

6x7=42

4 0
3 years ago
Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assist
Anna11 [10]

Answer: There are 82.5% after school students who are enrolled in his classes.

Step-by-step explanation:

Let the total number of students be 100

Percentage of students who need help in computer science = 30%

So, number of students who need help in computer science = 30

Percentage of students who need help in maths = 70%

So, number of students who need assistance in maths  = 70

Of the students who need help,

40% are enrolled in Mr. Ellis's class during the school day,

So, it means 60% are enrolled in his class after the school day.

Number of students who are enrolled in his class after the school day = 60

Number of students who need help in Maths is given by

\frac{70}{100}\times 60=42

Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%

So, number of students who need help in maths and enrolled in his class after school hours

\frac{75}{100}\times 42=31.5

Number of students who need help in computer science and enrolled in his class after school hours

\frac{30}{100}\times 60=18

Therefore, there are 31.5+18=49.5 students who joined his class after school hours,

Percentage of the after students who are enrolled in Mr. Ellis's classes is given by

\frac{49.5}{60}\times 100=82.5\%

Hence, there are 82.5% after school students who are enrolled in his classes.


6 0
4 years ago
Which expression is equivalent to
Nat2105 [25]

Answer : The correct option is \frac{1}{36a^{4}b^{10}}

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

[\frac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}]^{-1}

=[\frac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}]^{1}

=[\frac{1}{(3a^5b)^{2}}\times \frac{1}{(2a^{-3}b^4)^2}]

=[\frac{1}{9a^{10}b^2}\times \frac{1}{4a^{-6}b^8}]

=[\frac{1}{9a^{10}b^2}\times \frac{a^6}{4b^8}]

=\frac{1}{36a^{4}b^{10}}

Thus, the given expression is equivalent to \frac{1}{36a^{4}b^{10}}

5 0
4 years ago
imagine that you write each letter of the word california on individual cards. you shuffle them, turn them facedown on a table,
Rus_ich [418]

Answer:

20% or 2/10

Step-by-step explanation:

10 letters in california, and two of them are a

7 0
2 years ago
Read 2 more answers
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