Answer:
They are vertical angles
x = 5
The mesure of the angles are 35, 35, 145, and 145
Step-by-step explanation:
vertical angles are derectly acrost from each other.
the equations 3x+20 and 10x-15, put into the equation 3x+20=10x-15 will solve for x.
20 = 10x − 15 − 3x
20 = 7x - 15
20 + 15 = 7x
35 = 7x
35/7 = x
5 = x
x = 5
The equations solved are 3 x 5 + 20 = 35 and 10 x 5 - 15 = 35
The sum of all the angles is 360, therefore 35 + 35 = 70
360 - 70 = 290
290/2 = 145
The last two angles are 145 degrees
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3
<span><span>x3</span>+3<span>x2</span>−9x−27=<span>(x−3)</span><span>(x+3)</span><span>(x+3<span>)</span></span></span>
Answer:
<h2>False.</h2>
Step-by-step explanation:
A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.
Therefore, the statement is false.
In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.
An image showing the inscribed circle is attached.
