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andrey2020 [161]
3 years ago
13

In the figure below, BD bisects ∠ABC. What is the length of AB?

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:

D. 12

Step-by-step explanation:

Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:

AB/AD = CB/CD

Substitute

AB/8 = 6/4

Cross multiply

AB*4 = 6*8

AB*4 = 48

AB = 48/4

AB = 12

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zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

4 0
3 years ago
In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-te
andreyandreev [35.5K]

Answer:

i use the two sided t-test.

Step-by-step explanation:

it would be nearly impossible to ascertain with certain the proposition above but we would rather guess using the parameters that were available at the time.

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the two sided t-test  is mostly used in null-hypothesis testing and testing for statistical significance.

4 0
3 years ago
Solve for the right triangle given only one side and angle
34kurt

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

8 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 100 kilometers and a base of 47 kilometers. What is the height?
klio [65]
The answer to this is 3 bc 47*2=94
100-94=6
6/2=3
3 0
3 years ago
It kicked me out so I have to go to another tutor
masha68 [24]

Let's analyse each option:

A.

Spending money means the money will decrease, so it would be represented by minus 32.

B.

Dropping a rock means its height will decrease, so minus 32 would fit better.

C.

The speed is decreasing, so minus 32 as well.

D.

The amount of books is increasing, so positive 32 fits better in this situation.

Therefore the correct option is D.

5 0
1 year ago
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