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Sonja [21]
3 years ago
13

Use the figure to find the measures of the numbered angles. Explin your reasoning.

Mathematics
1 answer:
Reika [66]3 years ago
7 0
1)81° due to the fact that 99° and (1) are supplementary angles
2)99° due to the fact that (5) and (2) are adjacent angles that sum up to equal 180°  
3)81° due to the fact that it is the corresponding angle to (5)
4)99° due to the fact that (4) and (2) are alternate interior angles which equal the same 
5)81° due to the fact that (5) and (6) are adjacent angles which means they are supplementary angles that add to equal 180°
6)99° due to the fact that (6) and (2) are corresponding angles which equal the same value
7)81° due to the fact that (7) and (3) are corresponding angles with equal the same degree
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Quadrilateral MBPV is similar to quadrilateral GKDF. BP = 78 mm, KD = 30 mm , and FD = 45 mm. What is VP? Enter your answer in t
vlada-n [284]

Answer:

  VP = 117 mm

Step-by-step explanation:

Corresponding sides of similar quadrilaterals are proportional.

  VP/FD = BP/KD

  VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens

  VP = 117 mm

4 0
3 years ago
Are points B, J, and C collinear or noncollinear?
adoni [48]
I’m pretty sure they’re collinear. I’m so sorry if I’m wrong.
4 0
3 years ago
Regina writes the expression y + 9 · ¼. Which expression is equivalent to the one Regina writes?
Alika [10]

Answer:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.3/4  + y

= (9.3/4) + y

Step-by-step explanation:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.1/4  + y

= (9.1/4) + y

5 0
2 years ago
a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid
Stels [109]
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=4
\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

8 0
3 years ago
X^2 -50x+456=0 solve this algebraiclly find x
bagirrra123 [75]

Answer:

x=-406

Step-by-step explanation:

x^2-50x+456=0

x^2-50x=-456

This is because we subtract 456 from each side.

x-50=-456

We then divide the whole equation by <em>x</em> .

x=-406

Adding 50 to both sides gives us <em>x</em> by itself, hope this helps :D

8 0
2 years ago
Read 2 more answers
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