Points A, B, C and D are on the circle. The ∠ACB and ∠ADB are angles subtended by the same arc AB. If arc AB measures (5x – 30)° and m∠ACB = (x + 15) °, what is m∠ADB?

Answers

Answer 1

Answer:

m∠ADB = 35°

Step-by-step explanation:

From the figure attached,

∠ACB and ∠ADB are the angles subtended by the same arc AB.

m(arc AB) = (5x - 30)°

m∠ACB = (x + 15)°

Since, "measure of an arc is double of the measure of the angle subtended by the arc at the circumference"

m(arc AB) = 2(m∠ACB)

(5x - 30) = 2(x + 15)

5x - 30 = 2x + 30

5x - 2x = 30 + 30

3x = 60

x = 20

By using theorem,

"Angles subtended by the same arc in the same segment of a circle are equal in measure"

Therefore, m∠ACB = m∠ADB

Since, m∠ACB = (x + 15)°

                         = 20 + 15

                         = 35°

m∠ADB = 35°

Points A, B, C And D Are On The Circle. The ACB And ADB Are Angles Subtended By The Same Arc AB. If Arc

Related Questions

The two sides that make up the right angle of a right triangle measure28 cm and 45 cm. What is the perimeter of the triangle?

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Answer:

the perimeter 126 cm

A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
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The square =9+7/5 or

Answer:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:

PLS HELP

Given the following diagram, find the required measures.

Given: l || m

m∠4= 105 and m∠6=50

m∠2=

50

55

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Answers

Answer:

55

Step-by-step explanation:

m L 2 = 105-50 = 55°

______

Susan completed a 26-mile rollerblade marathon in 2.5 hours. If Susan skated at a constant rate, how fast was she skating? A. 10.4 mph B. 8.3 mph C. 6.5 mph D. 4.7 mph

Answers

Answer:

A. 10.4 mph

Step-by-step explanation:

26÷2.5=10.4

Double checking your answer:

If she does 10.4 miles in an hour, she can get 20.8 in two hours

then you add half of how much she can go in an hour which is 5.2 (10.4÷2)

you add it together, and you will get 26 miles in total

(20.8+5.2=26)

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the answer is 48 because the first one is multiplying by 4 the next is 5 the next is 6 the next is 7 and the last is 8

Answer:

46

Step-by-step explanation:

Anita learned that the mass of a baseball being used in a professional game was 142.663 grams. What is the mass of this baseball, rounded to the nearest tenth?

143 grams


142.7 grams


142.66 grams


140 grams

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

142.7 grams

Thanks Hope it helps.

please help! i need the answer

Answers

Answer:

i dont know im sorry

Step-by-step explanation:

A bag contains one green ball, one yellow ball, one red ball, and one blue ball. Jerome picks a ball from the bag, replaces it, and then picks another ball. The sample space for this situation is listed. Fill in the missing values in the list.
G-Y Y-Y R-
B-Y
G-
Y-R R-R B-R
G-B Y-
R-B B-B
G-G Y-G R-G B-

Answers

Answe

Step-by-step explanation:

The missing blanks have been filled .

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

A bag contains one green ball, one yellow ball, one red ball, and one blue ball.

Jerome picks a ball from the bag, replaces it, and then picks another ball.

Order matters since the ball is being replaced each time.

This is all the possible combinations to take 2 balls with replacement,

GY YY RY BY GR YR RR BR GB YB RB BB GG YG RG BG

For  the first missing blank , RR, RB, and RG are listed and the only other combination when choosing a red first would be to pick a yellow, so RY.

This is the same pattern for the others also.

To know more about Permutation and Combination

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Which equation is equivalent to x^-5/3?

Answers

Answer:

caben 2 yo pienso. es que no se muy bien

I need a little help

Answers

ok so you have to take out c beacsue ########

Which of the following is a pair of equivalent radical expressions?

A
45−−√and315−−√

B
75−−√and35√

C
54−−√and96√

D
180−−−√and320−−√

Answers

Answer:

correct answer is D i think so

PLS ANSWER FOR 30 POINT AND BRAINLIEST!!!

Answers

Answer:

B and E

Step-by-step explanation:

Determine if the two triangles are congruent

Answers

They are not congruent. Hope this helped!

hey whats the answer to this ? will mark brainliest if correct

Answers

Answer:

C. 128°

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

1. Express 36 minutes as a fraction of an hour: 36 minutes hour​

Answers

Answer:

0.600

Step-by-step explanation:

36minutes/60 minutes

The grocery store has 3 times as many cashiers in late afternoon than in the morning. If there are 14
cashiers at 10:00 am, how many would there be at 4:00 pm?

Answers

It would be 42 because you have to multiply 14 by 3


Una recta atraviesa el punto (8, -1) y tiene una pendiente igual a 5/4.
Escribir una ecuación en forma pendiente intersección para esta recta.

Answers

Answer:

y = (5/4)x - 11

Step-by-step explanation:

Use y = mx + b as your starting point.  This becomes y = (5/4)x + b.

Substitute 8 for x and -1 for y and solve for b:

-1 = (5/4)(8) + b, or

-1 = 10 + b.

Then b must be -11, and the desired equation is

y = (5/4)x - 11

Picture included at the top. 6th grade math

Answers

Answer:

4 and 5

Step-by-step explanation:

So alternate means there's on different sides of the one line that cuts through both lines, so that would be 1 and 8, 2 and 7, 3 and 6, and 4 and 5. But interior means that it's on the inside, so that would be 3 and 6, and 4 and 5, so 4 and 5 is your answer

hope this helps:)

Explain which properties you would use to fully expand (the problem in the screenshot)

Answers

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

           

A circle has center (0,4) and the same radius as the
circle with the equation x2 + y2 = 25. Which of the
following is an equation of the circle?

Answers

Answer:

x² + (y - 4)² = 25

Step-by-step explanation:

you didn't list any equation

Here's one possible answer

x² + (y - 4)² = 25

Answer:

Step-by-step explanation:

x²+y²=25=5²

radius r=5

(x-0)²+(y-4)²=5^2

x²+(y-4)²=25

What is y=4x-29
x+y=1
MUST SHOW WORK!!

Answers

Answer:

Hope this helps!! (x,y)=(6,-5)

Answer:

y=-5

x=6

Step-by-step explanation:

substitute y=4x -29 into the equation x+y=1.

x+ 4x-29 = 1

combine like terms

5x-29=1

add 29 to both sides

5x=30

divide by 5

x=6

plug 6 into x in the original equation

y=4(6) - 29

y=24-29

y= -5

What is the difference in the medians of the two exams? a 5 points b 15 points c No difference d 10 points

Answers

Answer:

What are the medians of the two exams? Can you post a picture?

Which of the following equations has both -2 and 2 as possible values of b?
A. b2 = 4
B. b3 = 8
C. None of the Above

Answers

The equation that has the possible values of b is b² = 4.

How to find the equation that has possible vale of -2 and 2?

The equation that has the possible value of b as -2 and 2 are as follows;

b² = 4

-2² = 4 and 2² = 4 (This is true)

b³ = 8

-2³ = -8 and 2³ = 8(This is false)

Therefore, the equation that has the possible values of b is b² = 4.

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simplify the following:4(2x)^2+5(2y^2)^3​

Answers

Answer:

16x^(2)+40y^(6)

Step-by-step explanation:

Hopes this helps:

Answer: 16x^2 + 40y^6

Please mark as brainlist.

What color laundry basket do dirty towels and aprons go in?

A. Green
B. Yellow

Answers

Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

Mhanifa please help this is late homework and I need it done ASAP! I will mark brainliest!

Answers

Answer:

#1

29 / x = tan 65x = 29 / tan 65 x = 13.5

#2

x / 3 = tan 70x = 3 tan 70x = 8.2

#3

15 / x = tan 40x = 15 / tan 40x = 17.9

Solve the right triangle. See image below.

Answers

Hi there! You still remember the Pythagorean Theorem, right? It's useful when it comes to finding a missing leg or side of a right triangle. If you forget then here it is:

[tex] \large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }[/tex]

Define c = hypotenuse while a and b can be both adjacent and opposite (because a²+b²=b²+a² via addition property)

Since we are missing the adjacent side. Thus,

We define a = 6 and c = 14.

[tex] \large{ {6}^{2} + {b}^{2} = {14}^{2} } \\ \large{36 + {b}^{2} = 196} \\ \large{ {b}^{2} = 196 - 36} \\ \large{ {b}^{2} = 160} \\ \large{ b = \sqrt{160} \longrightarrow \boxed{b = 4 \sqrt{10} }}[/tex]

Put the value of b in a calculator then round to the nearest tenth and get 12.6

Thus, the value of b ≈ 12.6

Next we are going to find the angle in degree. We now know that b ≈ 12.6 or 4sqrt(10)

We can find the value of angle A by using tan or sin but I will use sin instead. Recall the sine ratio which is opposite to hypotenuse. Thus,

[tex] \large{sinA = \frac{6}{14} }[/tex]

Use arcsin(6/14) and put it in calculator.

Then put the decimal value of arcsin in sin and convert in degree form which we should get 24. 555°. Round to the nearest whole number and we get 25°

Thus, the angle A is 25°

Next is we are finding the value of angle B. We aren't going to use any formula or equation. Recall that three angles add up to 180°.

Thus, 25° + 90° + x = 180°

90° comes from a right angle.

115+x = 180

x = 180-115

x = 65°

Thus, the angle B is 65°

Answer

b ≈ 12.6 or 4sqrt(10)angle A = 25°angle B = 65°

Which statement is not true about histograms
a) In histograms, the bars must touch side by side.
b) In histograms, the frequency represents the number of times something happens.
c) In histograms, the bars represent categories.
d) In histograms, each bar must be the same width or thickness.

Answers

Answer:

d

Step-by-step explanation:

d is not true because width and thickness doesn't matter

Question 15 of 40
For which sample size (n) and sample proportion () can a normal curve be
used to approximate the sampling distribution?
O A. n = 28; = 0.3
O B. n = 28; p = 0.9
O c. n = 32; p = 0.4
O D. n = 32; p = 0.2

Answers

Answer:

Option C: n = 32; p^ = 0.4

Step-by-step explanation:

The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10

A) For n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

Thus, it can't be used.

B) For n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok

Thus, it can't be used

C) For n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be used

D) For n = 32 and p = 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

Thus it can't be used.

1 Jessica is walking home from work and has to walk through a rectangular park. The park is 24 feet long and 7 feet wide. She plans to walk diagonally through the park from one corner to the other. How far is the walk from one corner to the opposite corner?

Answers

Answer:

5 miles but she did walk part of another mile so that would be 5.35.

Step-by-step explanation:

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