Answer:
Step-by-step explanation:
The measure of angle a is twice the measure of angle b. This means that
a = 2b
The measure of angle c is at least one degree more than the measure of angle a. This means that
c ≥ a + 1
c ≥ 2b + 1
if the sum of the three angles is at least 61 degrees, it means that
a + b + c = 61 - - - - - - - - - - - - - 1
Substituting a = 2b and c = 2b + 1 into equation 1, it becomes
2b + b + 2b + 1 = 61
5b = 61 - 1 = 60
b = 60/5 = 12
c ≥ 2× 12 + 1
c ≥ 25
25 ≥ a + 1
25 - 1 ≥ a
24 ≥ a
a ≤ 24
Therefore, the range possible measurements for angle b is
b ≤ 12
Answer:
x = -19
Step-by-step explanation:
-10x - 19 = 19 - 8x
-10x + 8x = 19 + 19
-2x = 38
x = -19
Answer:
x
−
5
=
0
and
x
+
8
=
0
.
x
=
5
,
−
8
idk why it looks like that xD
:3
By evaluating the given relation, we conclude that the correct options are A, D, and G.
<h3>
How to check if the points are on the graph?</h3>
We have the relation:
k = ∛(V/7)
Such that this relation gives us pairs of the form (V, k).
So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.
A) (0, 0) gives:
Evaluating in V = 0
k = ∛(0/7) = 0
So this point belongs.
B) (1, 1) gives:
k= ∛(1/7) = 0.52
So we have the point (1, 0.52) and the point (1, 1) then does not belong to the graph.
We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.
With this method, we will see that the correct options are:
D) (7, 1)
k= ∛(7/7) = 1
G) (56, 2)
k= ∛(56/7) = ∛(8) = 2
If you want to learn more about evaluations, you can read:
brainly.com/question/4344214
Answer: B) g(x) = -3x + 4
<u>Step-by-step explanation:</u>
Given f(x) = a(x - h) + k
- a: represents the vertical stretch
- h: represents the horizontal shift to the left (-) or right (+)
- k: represents the vertical shift up (+) or down (-)
You are given f(x) = -x with a vertical stretch of 3 and a vertical shift up 4
→ a = 3, k = 4
resulting in: g(x) = -3x + 4
