For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.

For Square ABCD, If MACB = (8x 27), Find The Value Of X.

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.

8x-27=45

8x=72

x=9

Answer 2

Answer:

x = 9°

Step-by-step explanation:

∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).

8x - 27° = 45°

add 27° to each side:

8x = 72°

divide both sides by 8:

x = 9°


Related Questions

factor 24j - 16 to identify the equavalnet expressions

Answers

Answer:

Possible answers:

(24) x j - 16

8 x (3j - 2)

Research Team A grows bacteria in a Petri dish. There are initially 200 bacteria in the
dish and the number of bacteria increases 4% each hour. The researchers use the
expression 200(r)* to estimate the number of bacteria present after t hours.
What is the value of r in the expression?
A. 0.04
B. 0.96
C 1.04
D. 4.00

Answers

I’m thinking it’s C but I’m not too sure!!!

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 5700(0.94)

Answers

Answer:

decay, 6%

Step-by-step explanation:

0.94 < 1

1 - 0.94 = 0.06

Evaluate the following expression if x=3: (1/2)^x

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]

PLEASE HELP
Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?

Answers

Answer:

D. 800$

Step-by-step explanation:

Did it on USA test prep

If a quadrilateral is a rhombus, then it is _______________________ *
Equilateral
Congruent
Perpendicular
Parallel
Equiangular

Answers

Step-by-step explanation:

parallelogram

If a quadrilateral is a rhombus, then it is a parallelogram. If a parallelogram is a rhombus, then its diagonals are perpendicular. If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.

The community service club is raising money for a children's hospital. Earlier in the year, the club had raised $240 for the charity. The club then held a bake sale and after the sale they were able to donate a total of $750 to the charity. Write an equation and solve for the amount raised at the bake sale.

Answers

Amount raised at bake sale = Total amount donated - Amount raised before bake

= 750 - 240
= $510
750 + 240 dólares deberían ser $990 por la caridad

A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?

Answers

Answer:

approx. $1.85 or $1.86 each marker

Answer:

1.85 for each

Step-by-step explanation:

Work out the area of this trapezium. 4cm 13cm 5cm 19cm pls help you be brainliest

Answers

Answer:

This is your answer ☺️☺️☺️

Rebekah traveled 540 miles in 9 hours. How many miles did she average each hour

Answers

60 miles/hour........

Answer:

60 mph (miles per hour)

Step-by-step explanation:

540 ÷ 9 = 60

Sorry if this answer is short. I want to get as much answers before Exam Mode starts.

−9x−6y=15
9x−10y=145

y=
x=

Answers

Answer:

Step-by-step explanation:

Adding the two equations together gives you

9x-10y-9x-6y=145+15

-16y=160

y=-10, using this value in 9x-10y=145 gives you

9x-10(-10)=145

9x+100=145

9x=45

x=5

So y=-10 and x=5

What is the slope of the line shown on the graph?

Answers

Answer:

Step-by-step explanation:

The slope, m, can be determined using any two points, and slope is defined as

m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)

m=(-1-0)/(5-0)

m=-1/5

which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta) (1-cos^2(theta))​

Answers

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

help it says which triangles are similar ​

Answers

Answer:

A) triangles A and B

Step-by-step explanation:

Their dimensions are proportional and their angles are equal

Help if link i will report

Answers

Answer is 139 degree

Angle 3 and 5 are the same.
Angle 3=9x+14
Angle 5=14x-1
9x+14=14x-1
9x-14x= -1-14
-5x= -15 multiply by -1
5x=15
x=15/5
x=3

Angle 3+Angle 8=180 degree
Angle 3=9x+14
Angle 3= 9•3+14
Angle 3=27+14
Angle 3=41 degree

41+ Angle 8=180
Angle 8= 180-41
Angle 8.=139 degree

Good luck



2
A train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hours.
Time (hours) Distance (miles)
1
95
2.
190
3
285
4
380
Write an equation to represent the relationship between the time, and d, the total distance traveled by the train.

Answers

Answer:

d=95t

d= 95 times the time

e.g d=95t

95=95*1

Which of the following relations is NOT a function?

Answers

Answer: Option 2 because it's the only one with repeating x coordinates.

What is the x in this equation

14x−8=4

Answers

Answer:

x =  6  / 7

Step-by-step explanation:

Let's solve your equation step-by-step.

14 x − 8 = 4

Step 1: Add 8 to both sides.

14x − 8 + 8 =  4 + 8

14x = 12

Step 2: Divide both sides by 14.

14 x  / 14  =  12  / 14

x =  6  / 7

Hope it helps

Please mark me as the brainliest

Thank you

 

 

Sara picked 18 to 24 roses she divided flowers into groups so that the same number of tulips and roses were in each bouquet. What is the greatest number of bouquets she could have

Answers

Answer:

6 bouquet

Step-by-step explanation:

To obtain the greatest number of bouquet she could have ;

Obtain the greatest common factor of 18 and 24

Factors of 18 : 1 , 2, 3, 6, 9, 18

Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24

The greatest factor commo to both 18 and 24 is 6.

Hence, the greatest number of bouquet she could have is 6.


Ms. Peters has 36 red, blue, and green markers. She has an equal number of
each color of marker. She arranges the red markers in 2 equal groups. How
many red markers are in each group?
18
9
6
12

Answers

Answer:

6 markers

Step-by-step explanation:

1) Find the number of red markers

Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.

36÷3=12

Therefore, Ms. Peters has 12 red markers.

2) Find the number of red markers in each group

Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.

12÷2=6

Therefore, there are 6 red markers in each group.

I hope this helps!

here is a formula:
a=2b-c
what is the value of a if b=12 and c=-4​

Answers

Answer:

a=28

Step-by-step explanation:

a = 2b - c

a = 2(12) - (-4)

a = 24 + 4

a = 28

by the formula

a=2b-c

if b =12

so, a= 2*12-(-4)

a= 24+4

a=28

Hope you find it helpful

mark it as the brainliest answer

please

thank you

y = 4x + 6 ; 5x + y = -21

Answers

Answer:

=4x + 5x ;6 + (-21)

=9x -15

= -6x

Quarters have a coating of copper mixed with nickel on the outside. If the diameter of a quarter is 24.3 mm, then what is the surface area of one side of the quarter that will get coated?

Answers

Answer: 463.96 mm² or 46.4 cm²

Step-by-step explanation:

Quarters are circular in shape so the surface area of one side will be the area of a circle.

Area of a circle = π * r²

Radius = Diameter / 2

= 24.3 / 2

= 12.15 mm

Area = 22/7 * 12.15²

= 463.96 mm²

Simplify 41/4 to a mixed number

Answers

Answer:

10 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

41/4 = 10 1/4

Use triangles to find the sum of the interior angle measures of the polygon.

Answers

Answer:

1440°

Step-by-step explanation:

From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°

Whats the equation to find the total cost ?

Answers

y = 8x
Is the equation

Multiply 42 by the sum of 4 and r. I need help on number 10 please.

Answers

Answer:

42(4 + r) is the answer if I'm reading that correctly.

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

Answers

Answer:

D) 4/3

Step-by-step explanation:

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

IF tan Z = 3/4

Since m<Y = 90 degrees

Let the opposite side be XY

YZ be the adjacent side

and XZ is the hypotenuse

Given

tan theta = opp/adj

opp = 3 = XY

adj = 4 = YZ

Get the hypotenuse

hyp^2 = 3^2 + 4^2

hyp^2 = 9 + 16

hyp^2 = 25

hyp = √25

hyp = 5

for tanX;

Side opposite to angle X is YZ

Adjacent side = XY = 3

opposite = YZ = 4

Tan X = YZ/XY

Tan X = 4/3

Hence the prediction of Tan X is 4/3

Geometry geometry geometry

Answers

Answer:

The equation is the second one

X^2 =6^2+11^2

X value = 12.53

Which is an equivalent ratio to 6/7?​

Answers

Answer: 12 : 14  18 : 21  24 : 28  30 : 35

Step-by-step explanation:

hope these is the right answer to your question

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