Rectangle ABCD has m∠BAC=4x+5and m∠ACD=5x−4. Find m∠CAD m∠CAD =

Answers

Answer 1

Answer:

m∠CAD = 49degrees

Step-by-step explanation:

For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;

m∠BAC = m∠ACD (alternate angles)

4x+5 = 5x - 4

4x-5x  = -4-5

-x = -9

x = 9

Also

m∠BAC+m∠CAD = 90

4x+5+m∠CAD = 90

4(9)+5+m∠CAD = 90

36+5+m∠CAD = 90

41+m∠CAD = 90

m∠CAD = 90-41

m∠CAD = 49degrees


Related Questions

Factor
4y(3x+2)-2(3x+2)

Answers

Answer:

[tex]2(3x+2)(2y-1)[/tex]

Step-by-step explanation:

Hope I helped!

Answer:

(4y − 2)(3x + 2)

Step-by-step explanation:

4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]

In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?

A. $120
B. $1200
C. $600
D. $5400

Answers

Answer:

5400

Step-by-step explanation:

2400+3000

George paid $49 for a pair of shoes that was on sale for 20% off the
original price. What was the original price of the shoes?

Answers

Answer:

58.8

Step-by-step explanation: Im pretty sure this is the answer but im sorry if im wrong UwU

Name another ordered pair that is on the graph
of the equation represented by the table.

HELP MEH ASAP PLS PLZ PLZ

Answers

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

Find the value of x.
F
8
E
Х
Н.
Х
-

Answers

Answer:

Step-by-step explanation:

x = 8

A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.

Answers

Answer: 10

Step-by-st

PLS HELP

What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet

Answers

Answer:

21 feet

Explanation:

Using pythagorean theorem to find the length of the added length of the bottom.

A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25

25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.

A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price?
Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation

Answers

Answer:

no, it is not free. $31.08 is the sale price

Step-by-step explanation:

1 - .4 = .6 –––––> paying 60% of original price with first discount

129.50 • .6 = $77.70

1 - .6 = .4 ––––––> paying 40% of the discounted price

77.70 • .4 = $31.08 is the sale price

For f(x) =8x+11, find f(x) when x = 4.

Answers

Answer:

43

Step-by-step explanation:

Plug x in.

8(4)+11=32+11=43

Hope I helped!

Answer:

43

Step-by-step explanation:

f(x) = 8x + 11

x = 4

f(4) = 8(4) + 11

f(4) = 32 + 11

f(4) = 43

find each unknown. Double a known fact.
9 x 4=​

Answers

Answer: 36

Step-by-step explanation:

the base of a triangular pyramid has a base of 3 inches and a height of 2 inches the height of the pyramid is 6 inches find the volume​

Answers

Answer:

6

Step-by-step explanation:

3 x 2 =6

6 / 2 =3

3 x 6 = 18

18 / 3 = 6

                     So your answer is 6

Anyone 100% know dis answer

Answers

Answer:

Rotational symmetry

Step-by-step explanation:

The rectangle rotated 180 degrees to get the transformed rectangle.

What is the value of y = 7 – 2c when x =4?


When x = 4, y =?

Answers

The y -intercept of the graph of an equation is the y -coordinate of the point in the xy -plane where the graph intersects the y -axis. Thus the y -intercept can be found by setting x = 0

(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture

Answers

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = )

The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?

Answers

Answer:

25%

Step-by-step explanation:

400 divided by 100 = .25 which is 25%

Please answer these in a fraction form. Thank you have an AMAZING day!

1. 2/5 ÷ 3 1/10 = ?
2. 4 1/3 ÷ 4/7 = ?
3. 3 1/6 ÷ 9/10 = ?
4. 5/8 ÷ 2 7/12= ?​

Answers

Answer:

use Photomath app to answer your question.

Which could be the function graphed below?
f(x)= x-2
f(x)= VX-3+1
f(x) = 2x+4
f(x)= x + 1 + 8

Answers

Answer:

f(x) = √x - 2

Step-by-step explanation:

that graph is what the graph of a square root looks like translated 2 units down

since the translation is vertical, the -2 must be outside the square root

Find the slope of the line passing through the points (-7, 5) and (2,5).

Answers

There is no slope the y axis is the same in both

Answer:

slope = 0

Step-by-step explanation:

Use formula to find the slope: m = (y2 - y1) / (x2 - x1)

Set (x1, y1) = (-7, 5)

Set (x2, y2) = (2, 5)

m = (5 - 5) / (2 - (-7))

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If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.

given that (-7,-1) is on the graph of f (x) find the correponding point for the function f (x+1 )

Answers

Answer:

X=-7 so -7+1 is -6 hope this helps

A person places $37700 in an investment account earning an annual rate of 5%,

compounded continuously. Using the formula V = Peșt, where Vis the value of the

account in t years, P is the principal initially invested, e is the base of a natural

logarithm, and r is the rate of interest, determine the amount of money, to the

nearest cent, in the account after 16 years.

Answers

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

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Answers

Answer:

28p

Step-by-step explanation:

7x4=28 and then you have to put the p after it.

28p because 7•4 is 28 and when simplified it would be 28p

look back at the question on page 437. how does this tall tale explain changes in nature? provide evidence to support your answer from Paul Bunyan​

Answers

Answer:

ayeee yooooo my guy someone is not gonna read the whole book for 5 points.

Step-by-step explanation:

i'm sorry but did you read to question?? you sure you did?

find the value of x please help
Will give brainliest​

Answers

X =25
since the angles are equal to each other, and the same, you can make each angle equal to each other and solve for x:
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8x = 63.2
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Answers

Answer:

7.9

Step-by-step explanation:

8x=63.2

Simply divide 63.2 by 8 to get an answer of 7.9 :)

-2 - 5r = 18
help mee

Answers

Answer:

r = -4

Step-by-step explanation:

-2 - 5r = 18

+2         +2

––––––––

-5r = 20

/5     /5

––––––

-r = 4

/-1  /-1

–––––

r = -4

Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.

Answers

Answer:

There is no problem to factor.

Step-by-step explanation:

which graph represents the inequality x > 15

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is 5c - 3d - 12c + d - 6 written in simplest form

Answers

Answer:

the answer is -7c - 2d - 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

brainly, please?

The required simplest form of the given expression is given as -7c -2d -6.

Given that,
To determine the simplest form of the given expression 5c - 3d - 12c + d - 6.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= 5c - 3d - 12c + d - 6
Adding alike terms,
= -7c -2d - 6

Thus, the required simplest form of the given expression is given as -7c -2d -6.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


Eliane bought 3/4 lb. of pears for $2.25 per pound. What did Eliane spend on pears per pound?

Answers

Answer:

$3 per pound

Step-by-step explanation:

2.25 / .75 = x / 1

.75x = 2.25

x = 3

11. There are 14 boys and 16 girls in Mr. Allen's
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number of students in the class? Write the
ratio in 3 ways.

Answers

Answer:

16 : 30,  16 to 30,  16/30

Step-by-step explanation:

Answer:

The ratio of boys to girls in the simplest form is 7:8

Step-by-step explanation:

There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.

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