If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC

Please help

Answers

Answer 1

Answer:

m<ABC  = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC  = 51degrees

Answer 2

The measure of angle ∠ABC  = 51 degree.

Since we know that,

For a circle,

The angle at the vertex is half the difference of the angles at the intercepted arcs.

Therefore,

m∠ABD = 1/2 (arcAD - arcAC)

⇒   ∠ABC = (1/2)(17x + 2 -(7x - 10°))

⇒  4x + 15 = (1/2)(17x-7x+2+10)

⇒2(4x+15) = 10x+12

⇒ 8x + 30 = 10x+12

⇒   8x-10x = 12-30

⇒         -2x = -18

⇒             x = 18/2

⇒             x = 9

Get m∠ABC

⇒ m∠ABC = 4x + 15

⇒ m∠ABC = 4(9) + 15

⇒ m∠ABC = 36 + 15

⇒ m∠ABC  = 51 degree

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Related Questions

Use the graph to determine the lim HURRY PLS, NEED SOMEONE CONSISTENT

Answers

Answer:

3.5 sorry if i am wrong

Step-by-step explanation:

If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes

Answers

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

PLEASE HELP!! WILL AWARD BRAINLIEST!!

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Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?

Answers

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week? A INEQUALITY (please)

Answers

Answer:

At least 11 miles a day.

Step-by-step explanation:

(80-14)÷6≥80

HELP ME PLEASE!! I’ll give you brainliest!

Answers

Answer:

D, C, B

Step-by-step explanation:

Last week, Nora sold 36 pineapples ([tex]48-12=36[/tex]), and 48 bananas.

Last week, the ratio of bananas sold to pineapple sold was [tex]48:36[/tex], which simplify to [tex]4:3[/tex]

The ratio means that for every 4 bananas sold, the number of pineapple sold was 3.

Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07

Correct answer: -0.07​

Answers

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

please can someone help me

Answers

9514 1404 393

Answer:

  68.6 square units

Step-by-step explanation:

The relevant area formulas are ...

  A = LW . . . . rectangle of length L and width W

  A = (π/4)d² . . . . . circle of diameter d

__

You have a rectangle of dimensions 4 by 14, and a circle of diameter 4. The total area is ...

  A = (4×14) +(π/4)(4²) = 4(14+π) ≈ 68.6 . . . . square units

Someone please help me

Answers

Answer:

x = 34°

Step-by-step explanation:

The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

x = [tex]\frac{1}{2}[/tex] ( AB + CD ) = [tex]\frac{1}{2}[/tex] (45 + 23)° = 0.5 × 68° = 34°

Directions: Type your answer in the box. Do not use spaces.
If triangles EFG and GHE are congruent, what is the measure of angle FEG?
F
G
110°
+
360
(x + 24)
E
H
ub
degrees
10

Answers

Answer:

36 cuz they are congruent

Step-by-step explanation:

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *

Answers

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

will give brainily for the RIGHT answer :)
At the beginning of spring, Bilquis planted a small sunflower in her backyard. When it was first planted, the sunflower was 10 inches tall. The sunflower then began to grow at a rate of 0.5 inches per week. How tall would the sunflower be after 8 weeks? How tall would the sunflower be after w weeks?
Height After 8 weeks: ?
Height After w weeks: ?

Answers

Answer:

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

Step-by-step explanation:

The equation of the sunflower is y=0.5x+10.

Height after 8 weeks: y=0.5(8)+10

y=4+10

y=14

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

If this helps please mark as brainliest

someone please please help me with this !

Answers

Answer:

4y+x - 16 = 0

Step-by-step explanation:

Given the equaton y - 2 = 4 (x-1)

Get the slope of the line

y - 2 = 4x  - 4

y =  4x - 4 + 2

y = 4x - 2

Since y = mx+b for a line

mx = 4x

m = 4

Slope of a line perpendicular M = -1/4

If the line passes through the point (-4, 5)

The equation in point slope form is expressed as y-y0 = m(x-x0)

Substitute;

y - 5 = -1/4(x-(-4))

y - 5  = -1/4(x+4)

4(y-5) = -(x+4)

4y - 20 = -x-4

4y+x-20+4 = 0

4y+x - 16 = 0

This gives the required equation

Quick questionnnnn :P

Answers

Answer:

44.

Step-by-step explanation:

Given expression: [tex]3t^2-t[/tex]

To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.

After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.

[tex]3(4)^2-4[/tex]

[tex]=3(16)-4[/tex]

[tex]=48-4[/tex]

[tex]=48-4=44[/tex]

[tex]\to \inft3(4)^2-4=44[/tex]

Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.

Which of the following choices represents the graph of the equation f(x) = -3x^2+ 1
O A. Parabola that opens up
O B. Parabola that opens down
o C. Parabola that opens to the left
O D. Parabola that opens to the right

Answers

C . Parabola that opens to the left

The scale of a map says that 4 cm represents 5 km.

Part A: What distance on the map (in centimeters) does an actual distance of 4 kilometers represent?
____ centimeters

Part B: What is the actual number of kilometers represented by 5 centimeters on the map?
____ kilometres

Español

La escala de un mapa dice que 4 cm representan 5 km.

Parte A: ¿Qué distancia en el mapa (en centímetros) representa una distancia real de 4 kilómetros?
____ centímetros

Parte B: ¿Cuál es el número real de kilómetros representado por 5 centímetros en el mapa?
____ kilómetros ​

Answers

Answer:

Part A:3.2

Part B:6.25

Step-by-step explanation:

Map:Actual

4cm:5km

1cm:1.25cm

Part A:

?cm:4km

3.2cm:4km

Part B:

5cm:?km

5cm:6.25km

Find the values of x and y.

Answers

Answer:

x = 24

y = 59

Step-by-step explanation:

To solve for x, we can say that;

(5x) + (2x + 12) = 180

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168 / 7

x = 24

To solve fore y, we can say that;

(3y) + (y - 56) = 180

4y - 56 = 180

4y = 180 + 56

4y = 236

y = 236 / 4

y = 59

Hope this helps!

I need to find x pls help

Answers

x = 120 degrees

Explanation:

Draw the line BC

(Angle DBC is 90 degrees because it is an angle in a semicircle.)
Angle DBC = 90 degrees

Angle ABC = Angle ABD + Angle DBC = 30 + 90 = 120 degrees

What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6

Answers

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

Answer:

133.33%

Step-by-step explanation:

x/y * k = 1.6x / 1.2y

k = (1.6x / 1.2y) / (x/y)

k = 1.6/1.2

k = 4/3 = 1.3333 = 133.33%

Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..

Answers

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

What amount would yield an interest of $66 in 2 years at 3% p.a.?

Answers

It would be 12 because you have to solve for the percent

a. step one
b.step two
c. step three
d. Keisha did not make a mistake.

Answers

Answer:

d. Keisha did not make a mistake

Step-by-step explanation:

3+(-4)-7

3+(-4)+(-7) adding negatives is the same as subtracting

3+(-11) -4 and -7 do make -11

-8 3 and -11 do make -8

So she did it correctly, which means d is the right answer.

:) ur welcome

Find x. Round to the nearest tenth: 29 500 ft

Answers

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

What is trigonometric ratio?

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]

[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]

According to the question,

In a given right triangle ABC,

Hypotenuse [tex]=500 ft[/tex]

Opposite side [tex]= x ft[/tex]

Adjacent side [tex]= y ft[/tex]

As per the diagram drawn,

 [tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]

Substitute the value in the above trigonometric ratio formula we get,

[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]

[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)

In trigonometric ratio [tex]cos\theta[/tex] we get,

[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]

Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

Learn more about trigonometric ratio here,

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By how many % did 100 decrease to 79?

Answers

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft

Answers

Given:

Stacked Hay Bales:

L = 1 1/3 feet
W = 4 feet

The volume of each hay bale is equal to 10 2/3 cubic feet
The number of hay bales stacked = 8

To solve for the height, use the volume of the bales and the given length and width of a single bale.

V = l x w x h
10 2/3 cubic feet = 1 1/3 feet * 4 feet * height
height = 2 feet

So, if the height of one bale is 2 feet, then the height of 8 bales stacked is

2 feet * 8 bales = 16 feet

Therefore the height of the stacked hay bales is 16 feet.

Divisibility rules for 2, 5, and 10

Which numbers are divisible by 5?

A)826

B)270

C)271

or none of these

Answers

Answer:

B is divisible by 5

Step-by-step explanation:

5 divisibility rule is that the number has to end in 5 or 0. Only B ends in 0, so b is the answer.

Answer:

B)270

Step-by-step explanation:

Divisibilty rule for 5: A number is divisible by 5 if the last digit is 0 or 5

Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre distancia y el tiempo y de valor de su velocidad v=d/t

Answers

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

The area of a rectangular fountain is (x^2+ 13x + 22) ft. The width is (x + 2) ft.

a. Find the length of the fountain.

Answers

I believe it is -11
Hopefully this helps!

Geometry end of year review escape room: room A

Answers

What is the question
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