Answer:
55
Step-by-step explanation:
7 x 10 = 70
4 x 10 = 40
70 + 40 = 110
110 / 2 = 55
[-2 3] times [2
1]
comes out to -2(2)+3(1) = -1. Eliminate the first answer choice, due to
the presence of that -7 instead of -1.
[-2 3] times [0
-3]
comes out to - 9. This matches answer choices #2, #3 and #4.
[3,-4][2
1]
comes out to 6-4, or 2. Matches #2, #3, #4.
[3, -4][0
-3]
comes out to +12, which matches answer choice #4.
Answer choice #4 is the correct one.
Review matrix multiplication if need be. Feel free to ask questions here and now if need be.
<u>Given</u>:
The measure of ∠EGF is 51°
We need to determine the measure of ∠EHF
<u>Measure of ∠EHF:</u>
By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".
Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H
Then, the two angles are congruent.
Thus, we have;
∠G ≅ ∠H
Therefore, the measure of ∠G = ∠H = 51°
Hence, the measure of ∠EHF = 51°
Answer:
Option A is correct
A. Neither
Step-by-step explanation:
Given:
Two points are given (2, 15) and (0, 5)
Let
and 
The slope of the line 
Put all known value in above equation.



So the slope of the line
.
The equation of the is
-------------------(1)
Where m is the slope of the line and b is y-intercept of the line.
Take point (0, 5) to compute the value of b.
Put
in equation 1.




Take point (2, 15) to compute the value of b.
Put
in equation 1.





So the equation of the line is.

Put m and b value in above equation.
------------(2)

add 10 both side in equation 2.



So the equation of line that passes through the point (2,15) and (0,5) is.
or
or 
Therefore, Neither the following equations represents a line that passes through the points (2,15) and (0,5).
Answer:
<h2>3 in</h2>
Step-by-step explanation:
The formula of a volume of a cube:

a - length of an edge
We have V = 27 in³. Substitute:
![a^3=27\to a=\sqrt[3]{27}\\\\a=3\ in](https://tex.z-dn.net/?f=a%5E3%3D27%5Cto%20a%3D%5Csqrt%5B3%5D%7B27%7D%5C%5C%5C%5Ca%3D3%5C%20in)