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KIM [24]
3 years ago
5

If ΔABC ≌ ΔRPQ , ∠A = 35˚, ∠C=75˚ , Find the measure of ∠Q. *​

Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0

Answer:

∠ Q = 75

Step-by-step explanation:

The reason,

As we can see that Triangle ABC is congruent to Triangle RPQ, so that means, ∠A =∠R , ∠B = ∠P , ∠C = ∠Q

And ∠C = 75° which means, ∠Q = 75°

If my answer helped, please mark me as the brainliest!!

Thank You!

Norma-Jean [14]3 years ago
3 0
<h3>Answer:  angle Q = 75 degrees</h3>

Explanation:

The order of ABC and RPQ is important so we can match up the angles like so

  • angle A = angle R .... first letters
  • angle B = angle P .... second letters
  • angle C = angle Q ... third letters

Meaning that angle Q = 75 since angle C is this measure.

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You cannot factor out a coefficient in this expression, because 9 and 8 do not have a common factor besides 1.
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3 years ago
Read 2 more answers
The sum of two numbers is 120. Three times
alexgriva [62]

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

6 0
3 years ago
1) Slope =-1, y-intercept = 0
Dima020 [189]

Answer:

1. C       2.D       3.D        4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

6 0
3 years ago
In 2010, the population of Kingsford was 8000. By 2014 the population had increased by 15% and 2/5 of the population was age 12
Anastasy [175]
<h2>Hello!</h2>

The answer is: The population age 12 or under was 3680.

<h2>Why?</h2>

If in 2010 the population of Kignsford was 8000, and by 2014 the population had increased by 15% we need to calculate the total population and then, calculate how many people was age 12 or under.

We must remember that we cannot work with percentage values, so, to make 15% a real number, we need to divide it by 100:

15(Percentage)=\frac{15}{100}=0.15

So,

Calculating the population by 2014, we have:

Population_{2014}=Population_{2010}+ Population_{2010}*0.15

Then, substituting we have:

Population_{2014}=8000+ 8000*0.15=9200

Now, calculating the population that was age 12 or under, knowing that it was 2/5 of the total population, we have:

Population=TotalPopulation*\frac{2}{5}\\\\Population=9200*\frac{2}{5}=3680

So, the population age 12 or under was 3680.

Have a nice day!

6 0
3 years ago
Quick question plz help ASAP!
Pie

Answer:

84°

Step-by-step explanation:

m∠TRV=2*m∠TUV;

m∠TRV=42*2=84°.

7 0
3 years ago
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