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umka2103 [35]
3 years ago
7

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

The measure of side AC is 6 cm.

Step-by-step explanation:

The information for the triangle ABC are:

AB = 6 cm

m∠A = 80°

m∠B = 50°

The sum of all angles of a triangle is 180°.

Compute the value of m∠C as follows:

m∠A  + m∠B + m∠C = 180°

m∠C = 180° - 80° - 50°

        = 50°

Thus, the angles, m∠C = m∠B.

Consider the triangle below.

If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.

And in an isosceles triangle the sides corresponding to the equal angles are equal.

Then in this case as m∠C = m∠B then sides AC = AB.

The measure of the side AC is 6 cm.

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The the next step in the proof is D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

<h3>How to illustrate the angle?</h3>

It should be noted that vertical angles are the angles that are opposite each other when the two line cross.

In this case, 7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

In conclusion, the correct option is D.

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2 years ago
I WILL MARK BRAINLIST
ANEK [815]

Answer:

corresponding angle are all congruent

7 0
3 years ago
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
Vaselesa [24]
There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7
5 0
3 years ago
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
erica [24]

Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

3 0
3 years ago
A pharmacist wishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of a 2% solution and wishes to add some 8% so
son4ous [18]

Answer:

200 ml

Step-by-step explanation:

It's proportions basically.

frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.

Eventually we want 6/100 to be the porportion.  so the total is going to be 100 (from the initial 100 ml) plus however much is needed x.  And we want the amount of Minoxidil to be 2 + 8 percent of x.  so this gets us the equation

6/100 = (2 + .08x)/(100+x)  Then we solve

(100 + x) 6/100 = 2 + .08x

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600 + 6x = 200 + 8x

400 = 2x

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so they should add 200 ml

You can check too.  there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100

6 0
3 years ago
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