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Ket [755]
10 months ago
12

I've done with my quiz, now I have to do the correction for extra point, bit my teacher required to explain how to solve it corr

ectly, but I don't know how. Please help me

Mathematics
1 answer:
lapo4ka [179]10 months ago
7 0

To solve this problem, we have to use the interior angles theorem which states that the sum of all three interior angles of a triangle must sum 180°.

Having said that, we express the following.

75+x+2x=180

Now, we solve for <em>x</em>.

\begin{gathered} 75+3x=180 \\ 3x=180-75 \\ 3x=105 \\ x=\frac{105}{3} \\ x=35 \end{gathered}

Then, we use this value to find the angle T.

m\angle T=2x=2(35)=70<h2>Therefore, the angle T is equal to 70°.</h2>
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5 0
3 years ago
Write an equation ( in slope form or point slope form) of a line with slope 1/2 that passes through the point (-4,-7)
bija089 [108]

Answer:

x(1/2)-5

Step-by-step explanation:

8 0
3 years ago
What is the answer to this math equation(x+5)(x²-3x)​
Nikolay [14]

Answer:

x=-5\\x=0\\x=3

Step-by-step explanation:

I assume your equation to solve is

(x+5)(x^2-3x)=0

When we have a product of two factors equal to zero,

A\cdot B = 0

The solution is either A = 0 or B = 0.

In this case, this means that we can break the equation into two equations:

x+5=0\\x^2-3x=0

Solving the first one, we get:

x+5=0 \rightarrow x = -5

For the second one, we rewrite it as:

x^2-3x=0\\x(x-3)=0

And we see that this equation has two solutions:

x=0\\x=3

Therefore, the three solutions are:

x=-5\\x=0\\x=3

8 0
3 years ago
The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
2 years ago
Simplify.<br><br><br> (1/2)^2−6(2−2/3)
Elena L [17]

Answer:

Exact form : -31/4

Decimal form: -7.75

mixed number form: -7(3/4)

Step-by-step explanation:

7 0
3 years ago
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