The values of the triangles are as follows:
- x = 7 units
- GH = 21 units
- HI = 21 units
- GI = 12 units
<h3>How to find angles and side of a triangle?</h3>
The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
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Add all sides.
5x+2+3x+8+4x-1
Combine like terms
12x+9
Subtract nine to get it on the other side of the equal sign
12x= -9
Divide by twelve
x=-9/12
Simplify
x=-3/4
Plug in x.
Answer:
a) Option A)
b) Point estimate of difference = -78
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $1,503
Sample mean, 
= $1,425
Sample size, n = 25
Sample standard deviation, s = $160
We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
a) First, we design the null and the alternate hypothesis
b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
Point estimate of difference =
Mean annual premium in Pennsylvania - National mean
Thus,
Point estimate of difference = -78
Answer:
D. 93°, 29°, 58°
Step-by-step explanation:
In a triangle we can only have 3 Interior angles.
The sum of the Interior angles in a triangle = 180°
Adding up the given Interior angles in the above question:
A. 15°, 48°, 27°
= 15° + 48° + 27°
= 90°
90° ≠ 180°
Option A is wrong
B. 56°, 45°, 46°
= 56 ° + 45° + 46°
= 147°
147° ≠ 180°
Option B is wrong
C. 42°, 84°, 64°
= 42° + 84° + 64°
= 190°
= 190° ≠ 180°
Option C is wrong.
D. 93°, 29°, 58°
93° + 29° + 58°
= 180°
180° = 180°
Option D is the correct Option.
Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°
