Answer:
The correct answer is option <em>B. AA</em>
<em></em>
Step-by-step explanation:
Given two triangle:
and
.
The dimensions given in
are:

We know that the sum of three angles in a triangle is equal to
.

The dimensions given in
are:

We know that the sum of three angles in a triangle is equal to
.

Now, if we compare the angles of the two triangles:

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.
by <em>AA theorem.</em>
<em>So, correct answer is option B. AA </em>
Answer:
x = 75
Step-by-step explanation:
We can write this as a proportion
27 45
--------- = --------
45 x
We can use cross products to solve
27 x = 45 *45
Divide each side by 27
27 x/27 = 45*45 /27
x = 75
Answer:
D. 18.68
Step-by-step explanation:

Applying PEMDAS as order of operations.
Solving the exponents first ![[(\frac{2}{5})^2=\frac{4}{25}]](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B5%7D%29%5E2%3D%5Cfrac%7B4%7D%7B25%7D%5D)

Multiplying ![[53\times \frac{4}{25}=8.48]](https://tex.z-dn.net/?f=%5B53%5Ctimes%20%5Cfrac%7B4%7D%7B25%7D%3D8.48%5D)

Dividing ![[27\div \frac{5}{3}=16.2]](https://tex.z-dn.net/?f=%5B27%5Cdiv%20%5Cfrac%7B5%7D%7B3%7D%3D16.2%5D)

Adding and subtracting.

<span>Which of the following equals 140 to nearest 10
A.134
B.145
C.136
D.146</span>
Answer:
10.6%
Step-by-step explanation:
Normal curves are symmetrical. That means that on a standard normal distribution, the area less than -1.25 is the same as the area greater than +1.25. The total area under the curve is 1, so:
P = 1 - 0.894
P = 0.106
Approximately 10.6% of the area under the curve lies below -1.25.