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Scrat [10]
3 years ago
15

Pls help figure out part c, part e, and part f

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0
Part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle
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Does the order in which you add two integers with the same sign affect the sum
andrey2020 [161]
 when you add two negatives its just like regular number, -3+-5=-8 same as 3+5=8
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3 years ago
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The ratio of the measures of the three angles is 2:6:7. Find the measure of each angle of the triangle.
Tpy6a [65]
Answer: C, because I’m assuming you meant 84°.
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3 years ago
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B
Step2247 [10]

Answer:

<em>The coordinates of P are (-2,0)</em>

<em>The radius of the circle is 5.</em>

Step-by-step explanation:

<u>Analytic geometry</u>

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

Substituting x1=-6, x2=2, y1=3, y2=-3:

\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2

\displaystyle y_m=\frac{3-3}{2}=0

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting x1=-6, x2=-2, y1=3, y2=0:

r=\sqrt{(-2+6)^2+(0-3)^2}

r=\sqrt{4^2+(-3)^2}

r=\sqrt{16+9}=\sqrt{25}=5

The radius of the circle is 5.

4 0
3 years ago
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Sergeeva-Olga [200]

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title=" \frac{5}{12}" alt=" \frac{5}{12}" align="a
Tasya [4]

Answer:

About 0.417

Step-by-step explanation:

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