In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°

Answer:

x = 11, y = 22

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{11\sqrt{3} }{x}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by x )

11[tex]\sqrt{3}[/tex]  = x × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

11 = x

Using Pythagoras' identity in the right triangle

y² = x² + (11[tex]\sqrt{3}[/tex] )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )

y = [tex]\sqrt{484}[/tex] = 22

Answer:

[tex]10100[/tex]

Step-by-step explanation:

Use this formula,

[tex] \frac{n}{2} (2 {a} + d(n - 1)[/tex]

where n is the amount of even intergers, a is the starting term, d is the common difference.

[tex] \frac{100}{2} (4 + 2(99)[/tex]

[tex]50(4 + 198)[/tex]

[tex]50(202)[/tex]

[tex]10100[/tex]

Answer:

12 People!!!

I repeat the answer is:

12 People!!!

Answer:

[tex]\sqrt{7} 2 =x^{8}[/tex]

Step-by-step explanation:

Answer:

the last one since the people in the music and entertainment store are there to only buy records

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

An obtuse isosceles triangle

Step-by-step explanation:

Obtuse triangles always have one large angle that is bigger than 90 degrees and two smaller angles.

An isosceles triangle always has two sides that are the same length.

Answer:

obtuse isosceles triangle

Step-by-step explanation:

trust me bro

Answer:

c

Step-by-step explanation:

if you have 5 teams, then it has to be 5 games.

Answer:

The answer would be 4 times, since there are 4 other teams for each team to play.

Example:

Say I'm Team Red, and the other teams are Yellow, Green, Blue, and Purple. I would need to go against each of the other teams once and since there is 4 of them, I would have 4 games to play.

Answer:

huh?

Step-by-step explanation:

Answer:

12^2*pi=144pi=452(3.s.f)

Answer:

53520

Step-by-step explanation:

Books left =total books -books included student

books left =66500-8947-4033

i.e.53580

Answer:

A=a+b

2h

Step-by-step explanation:

Answer:

The value of [tex]x[/tex] is 2.

Step-by-step explanation:

Given that [tex]\overline{HI}[/tex] and [tex]\overline{HJ}[/tex] are secant to arcs [tex]HI[/tex] and [tex]HJ[/tex], which have the same central angles. Therefore, [tex]HI = HJ[/tex] due to symmetry:

[tex]HI = HJ[/tex] (1)

[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]

[tex]3\cdot x = 6[/tex]

[tex]x = 2[/tex]

Hence, the value of [tex]x[/tex] is 2.

Answer:

x = 11

Step-by-step explanation:

Since this is a triangle, all interior angles add up to 180 so:

57 + 73 + 3x + 17 = 180

3x + 147 = 180

3x = 180 - 147

3x = 33

x = 11

Answer:

A ≈ 5.6

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P

   = 0.5 × 5.2 × 2.8 × sin50°

   ≈ 5.6 ( to 1 dec. place )

Answer:

14.4

Step-by-step explanation:

Answer:

14.4 m2

Step-by-step explanation:

area = L x W

here we have these two values so area = 3 x 4.8

this gives us 14.4 m2

Step-by-step explanation:

Radius=EA,AB,DA,CA

diameter=EB

length of diameter =2×4=8cm

Answer:

SELECT WHAT??

Step-by-step explanation:

Answer:

[tex] \tan( \alpha ) = \frac{8}{15} [/tex]

The probability of blue candy from the jar of total candy 50 is 7/50. Thus, option B is correct.

Probability is defined as the chance of occurrence of events. From, the given data the total number candies in the jar is 50.

Thus, the total number of events (sample space, S) = 50

number of possible outcomes from the event n(S) = 50

number of blue candies in the jar(favourable outcomes) = 7

Probability of taking the blue candies from the jar,

P(A) = no. of. favourable outcomes / number of possible outcomes

        = 7 / 50

The probability of taking blue candy from the jar = 7/50

Thus, the ideal solution is option B.

To know more about Probability :

https://brainly.com/question/11034287

#SPJ1

Answer:

28 degrees

Step-by-step explanation:

147 - 119 = 28

Answer:

Step-by-step explanation:

Since we already know that PQR is 147 degrees, we just need to subtract PQR to QR, and you will get, (147 - 119), PQ as 28 degrees!

Answer: 32/40

Step-by-step explanation:

Sin is Opp/Hyp

Sin A is 32/40

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

Answer:

The answer is median :81

Step-by-step explanation:

Answer:

f (x) = 2.3x grows the value of x at faster rate

Answer:

18

Step-by-step explanation:

Each page has 6 stamps. There are 3 pages. This is a simple multiplication problem, and so you do 3x6 to find the total number of stamps Kyle has. Thus, 3 times 6 is 18.

visual:

Page One: 6 stamps

Page Two: 6 stamps

Page Three: 6 stamps

6 + 6 + 6 = 18 (or just do 6x3)

Answer:

C. 80 ft

Step-by-step explanation:

Volume=width ×height ×length

5×2×8 = 80