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o-na [289]
3 years ago
7

The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Writ

e and solve a system of equations using substitution.
Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

A = 73.33

B = 53.33

C = 53.33

Step-by-step explanation:

Mathematically, adding the 3 angles would equal 180

Thus;

A + B + C = 180 •••••(i)

Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)

B = C •••••••••(ii)

Lastly;

B = A -20 ••••••••(iii)

Make a substitution in equation 1;

A + A -20 + A -20 = 180

Since B = C ; C also is A-20

3A -40 = 180

3A = 220

A = 220/3 = 73.33

B = C = A -20 = 73.33 -20 = 53.33

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kodGreya [7K]

Because the graph is starting high and going down, your answer is c- exponential decay

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3 years ago
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The area of a triangle is 24sq inches. If the base of the triangle is 6 inches, what is the height?
Helen [10]

Answer:

8 inches

Step-by-step explanation:

To find the area of a triangle, we use the formula

A = 1/2 bh where b is the length of the base and h is the height

A = 24 and b = 6

24 = 1/2 (6) * h

24 =3h

Divide each side by 3

24/3 = 3h/3

8 =h

The height is 8 inches

4 0
3 years ago
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1. Kalena was asked to prove ifx(x - 1)(x + 1) = x3 - X represents a polynomial identity. She
Verdich [7]

Answer:

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

6 0
3 years ago
Which expression below is equivalent to the expression: 12^3 x 12^9 x 12^4 x 12•2. (I NEED HELP HURRY)
Whitepunk [10]

Answer:

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Step-by-step explanation:

The expression is given as ;

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12⁽³⁺⁹⁺⁴⁺²⁾  

12⁽¹⁸⁾

5 0
3 years ago
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Write an equation that you can use to solve for x.<br><br> Enter your answer in the box.
patriot [66]
X + 60 = 100 (because they are vertical angles, which means that because they are directly opposite of each other, they are of the same measurements).

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x = 100 (-60)

x = 40

40° should be your answer

hope this helps
8 0
3 years ago
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