To solve this problem you must apply the proccedure shown below:
1. You have that the ratio of the measures of the three angles is 
2. The sum of the interior angle of a triangle is 
3. Let's say that the measure of each angle is
multiplied by the ratio. Therefore, you can write the following equation and solve for
:

4. Therefore, the measure of each angle is:

The answer is: 
Answer:
That can be re-written:
x^2 + 5x -8 = 0
We use the Quadratic Formula
a=1
b = 5
c = -8
x = [-b +- sq root (b^2 - 4ac) ] / 2a
x = [-5 +- sq root (25 - - 32)] / 2
x1 = [-5 + sq root (57)] / 2
x1 = 1.27491722
x2 = [-5 - sq root (57)] / 2
x2 = -6.2749172176
Step-by-step explanation:
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:

<em>subtract 1 from both sides</em>

2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>

Answer:
2. D
3. B
Step-by-step explanation:
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:

For x = 78, the z score is:

From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%