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3 years ago

DESPERATELY NEED HELP!! TANGENT LINES; WHAT IS THE VALUE OF X? PLEASE EXPLAIN! BRAINLIEST GIVEN!!

Mathematics

1 answer:

ycow [4]3 years ago

4 0

I believe x is 30 degrees.

The equilateral triangle has each angle equal to 60 degrees. So the small arc near x is also 60. The angle x is half the arc so would be 30.
This also makes sense because the triangle it forms with angle x and the center has center angle of 60 and angle formed by tangent and radius of 90. So it is a 30-60-90 triangle, making angle x 30.

You might be interested in

Increase £130 by 15%

Mamont248 [21]

Answer:

£149.5

Step-by-step explanation:

$100 + 15 = 115\\115/100 = 1.15\\130 * 1.15 = 149.5$

7 0

3 years ago

Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par

Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that $P(A) = 0.8, P(B) = 0.6$

The probability that at least one part works for one year is 0.9.

This means that: $P(A \cup B) = 0.9$

We also have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$0.9 = 0.8+0.6 - P(A \cap B)$

$P(A \cap B) = 0.5$

Calculate the probability that part B works for one year, given that part A works for one year.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625$

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0

3 years ago

For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog

natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

$cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}$

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

$cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}$

$\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )$

∠GAB = 22.62°

$cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}$

$GH = \dfrac{39}{36} \times {12}$

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)

The height of the parallelogram = 120/13 = 9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0

3 years ago

Read 2 more answers

What value of x makes the equation true ? 4(2x-4)=16

otez555 [7]

4(2x-4) = 16
4*2x - 4*4 = 16
8x - 16 = 16
8x = 16 + 16
8x = 32 / : 8
x = 4

7 0

3 years ago

Read 2 more answers

A sidewalk is built 12 bricks wide by laying each brick side by side.how many inches wide is this sidewalk is each brick measure

yaroslaw [1]

To solve for the width simply multiply the two numbers:

width of sidewalk = 12 * (3 7/8)

Where 3 7/8 = 31/8

so calculating,

width of sidewalk = 12 * (31 / 8)

<span>width of sidewalk = 46.5 inches</span>

5 0

3 years ago

Read 2 more answers