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2 years ago

In triangle ABC if angle a - angle b = 63 degree and angle b - angle c = 18 degree find angle b

Mathematics

1 answer:

madreJ [45]2 years ago

5 0

Angle B is 45, angle A is 108, angle C is 27

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PLEASE HELP ME

olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

The value of x:

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

$\angle A+\angle C=180^{\circ}$

Substituting the values, we have,

$2x+3+2x+1=180$

$4x+4=180$

$4x=176$

$x=44$

Thus, the value of x is 44.

Measure of ∠A:

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

Measure of ∠C :

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

Measure of ∠D :

Substituting $x=44$ in ∠D = (x - 10)°, we get,

$\angle D=(44-10)^{\circ}$

$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0

3 years ago

Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this proble

Anettt [7]

A=bh
1056=32×b
÷32 ÷32
33=h
The height is 33 inches.

8 0

2 years ago

Read 2 more answers

Tara has ¾ cup of ice cream. How many ⅕ cup servings are in ¾ cup of ice cream?

My name is Ann [436]

Answer:

3 3/4

Step-by-step explanation:

3/4 * 1/5

First you would turn 1/5 into a reciprocal

Now your equation would be 3/4 *5/1

Now you multiply 3/4 * 5/1

15/4

Now find 15/4 as a mixed number

15/4 as a mixed number would be 3 3/4

Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice

8 0

2 years ago

Y is an irrational number between 3 and 4 . what is the value of y

Paraphin [41]

Answer:

If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then ab is an irrational number lying between a and b.

So an irrational number between 3 and 4 is=3×4=3×4=3×2=23

7 0

2 years ago

Did I do this correct???

kondor19780726 [428]

The answer is actually D. Since 2.5 is a side of each tiny block, there is 3 sides that you are going to multiply together. There is 5,2 and 4 because we are multiplying the length,width and side. So the length is 2.5*5=12.5 which was correct. The width is 2.5*4=10 which you had but you crossed it out. Then lastly you are looking for the side of the shape. 2.5*2=5. Now that I have everything I just need to multiply everything together. 12.5*10*5=625 in³. I hope this helped you!

6 0

2 years ago