Mathematics High School

If mAD
-
(17x + 2); mAC = (7x – 10), and m_ABC = (4x + 15), find m_ABC.
A
B
G
C С
D

If MAD-(17x + 2); MAC = (7x 10), And M_ABC = (4x + 15), Find M_ABC.ABGC D

Answers

Answer 1

Answer:

36

Step-by-step explanation:

you add the first two the order of operations then you do big and little

Answer 2

Applying the angle of intersecting tangents theorem, m∠ABC = 99°

What is the Angle of Intersecting Tangents Theorem?

If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.

Given the following:

m(AD) = (17x + 2)m(AC) = (7x – 10)m∠ABC = (4x + 15),

Apply the angle of intersecting tangents theorem:

m∠ABC = 1/2[m(AD) - m(AC)]

Substitute

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

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

8x + 30 = 10x - 12

8x - 10x = -30 - 12

-2x = -42

x = -42/-2

x = 21

m∠ABC = (4x + 15)

Plug in the value of x

m∠ABC = 4(21) + 15 = 99°

Learn more about the angle of intersecting tangents theorem on:

https://brainly.com/question/9143293

Related Questions

solve each system by substitution
-x+y=4
3x-2y=-3

Answers

y= 9
x = 5
good luck /)))))

What is x to the nearest tenth?

Answers

Answer:

A. 37.5

Step-by-step explanation:

A normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?

Answers

Answer:

0.15866

Step-by-step explanation:

The term at most 9 means = less than or equal to 9

This represented as x ≤ 9

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ≤ 9

μ is the population mean = 10

σ is the population standard deviation = 1

z = 9 - 10/1

z = -1

Probability value from Z-Table:

P(x ≤ 9) = 0.15866

Therefore, the probability of selecting a number that is at most 9 is 0.15866

Directions: Select all the correct answers.
Yvette needs 5/8 of a teaspoon of salt, 2/3 of a tablespoon of baking soda, and 3/4 of a cup of sugar to bake a cake.

The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
The order of the measurements from least to greatest are 5/8 < 2/3 < 3/4.
The numbers 5/8 and 3/4 are terminating decimals while 2/3 is a non-terminating decimal.
The numbers 5/8 and 2/3 are terminating decimals.
The number 5/8 is a terminating decimal while 3/4 and 2/3 are non-terminating decimals.
The number expands to 0.75 while expands to 0.6.
The number 5/8 expands to 0.625 while 3/4 expands to 0.75.
The order of the measurements from least to greatest are 2/3 < 5/8 < 3/4

Answers

Answer:

The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.

Step-by-step explanation:

Answer:

The numbers 5/8 and 2/3 are terminating decimals.

The order of the measurements from least to greatest are .

2/3<,5/8,<3/4

Step-by-step explanation:

study island

Jason just got tired for a new job and will make $80,000 in his first year. Jason was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?

Answers

Answer:

$110,080

Step-by-step explanation:

This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.

The general formula for such an arithmetic series is

a(n) = $80,000 + ($5,000)(n - 1)

and so in his 23rd year Jason would make

a(23) = $80,000 + ($5,000)(23 - 1), or

$110,080

Answer:

$110,080 is the answer

If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18

Answers

Answer:

D

Step-by-step explanation:

To shift h units to the right, replace x with x - h

To shift h units to the left, replace x with x + h.

To shift k units up, add k to the end of the formula for the function.

To shift k units down, subtract k from the end of the formula.

Example:  [tex]y=x^2[/tex]

[tex]y=(x+2)^2+6[/tex] is [tex]y=x^2[/tex] shifted left 2 units and up 6 units.

Caution: the right/left shifts sometimes look backwards!

If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work. ​

Answers

Answer: Acute Triangle.

Step-by-step explanation:

3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.

An acute triangle is less than 90 degrees so this an acute triangle.

help I don't understand​

Answers

Answer:

Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.

Step-by-step explanation:

Have a nice day!

When the y coordinate is positive, which way do you move on the coordinate plane?

Answers

Answer:

up

Step-by-step explanation:

You would move it up the y-axis

Which expression is equivalent to 10x2y + 25x2?

5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)

Answers

the first one 5x2(2y+5)

Solve for X.

Then, Solve for Y.

Answers

Step-by-step explanation:

Refer to attachment.

Hope it helps :D

First solved for x, then for y [tex].[/tex]

PLEASE HELP GIVING BRAINLEST

Answers

Answer:

Step-by-step explanation:

1. 34

2.12

3. 45

chris is 4 1/4 feet tall his mom is 1 1/2 times as tall as chris how tall is chris's mom

Answers

Answer:

6 feet 3 inches

Answer:

6.375 ft tall

Step-by-step explanation:4 1/4x1 1/2=6.375

the table below shows the values for the function y=f(x). complete the table for the function y=f(1/5x).

Answers

x y

-4 -4/5

-1 -1/5

0 0

3 3/5

6 6/5

Step-by-step explanation:

So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.

What fraction of the large square is the parallelogram?

Answers

Answer:

maybe 14/20

Step-by-step explanation:

please answer this I will give brainliest and you get 20 points

Answers

JUBILANT

Step-by-step explanation:

Answer:

Jublinant

Step-by-step explanation:

what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?

Answers

27 is the answer to this question

The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?

Answers

Answer: 7.71%

Step-by-step explanation:

Number of students in a school last year = 700

Number of students in a school this year = 646

Reduction in the number of students = 700 - 646 = 54

The percentage reduction will be:

= Reduction in number / Last year students × 100

= (54 / 700) × 100

= 7.71%

Solve for a.

a² = 16

Enter your answer in the box.

a = ​ ± =

Answers

Answer: 4

Step-by-step explanation: take the square root of 16, because the opposite of squaring a number is finding the square root, and you get a=4

Write 2/8 in simplified form

Answers

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

X + 8 = -6

need this asap ty

Answers

Answer:

Solution given:

x+8=-6

x=-6-8=-14

Answer:

X = -14

Step-by-step explanation:

Can someone help me please

Answers

Answer:

That would seem like a b

Step by step explanation: (>) means greater than and b is stating that element a is higher than element c

State the slope and y-intercept for the graph of the equation -8x + y = -12.

Show your work!!

Answers

Answer:

Slope is 8 and Y-Intercept is -12

Step-by-step explanation:

Move the -8x over to the right side by adding it, You are now at

y=-12+8x

Move these around and you are now at

Y=8x-12

Answer:

Step-by-step explanation:

Remark

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.To read the slope, you must have x and its coefficient on opposite sides of the equal sign. So you get y = 8x - 12 when you add 8x to both sidesNext, the y intercept is found when x = 0y = 8x - 12y = 8(0) - 12y = - 12The  y intercept is -12 or in point form (0, - 12)

Answer

slope = 8

y intercept = - 12

Cesar does the same number of push-ups everyday. On day 7 he had done a total of 35 push-ups. How many push-up does Cesar do each day? If he continues at this rate, how many total push-ups will he have done on day 10?

Answers

Answer:

first question

5 push-ups a day

second question

50 push-ups

Step-by-step explanation:

First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.

Then you multiply the number of days by the number of push-ups Cesar does in a day.

10 x 5 = 50

any clue how to do this question?

Answers

Answer:

I think that you multiply the 2 numbers by x and b,

Step-by-step explanation:

Write the equation of the line passing
through the point (2, -1) with a slope of -3.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

(2, -1); m = -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

how many whole numbers are between 0 and 1999

Answers

there are 2000 whole number

A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base. ​

Answers

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

Can anyone help me?

Answers

Answer:

Step-by-step explanation:

y= -833.3+42,000

29,500

-4 (b + 2) = 20 answer

Answers

(-4b - 8) = 20
-4b = 20 + 8
-4b = 28
b = -7
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