If ADAB
ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

We are given that the triangles are congruent.

Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.

Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.

[tex]m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\dfrac {32}{8}=\dfrac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x[/tex]

Answer 2

The answer is 4 because you have to solve 35=8x+3 by removing 3 so it makes 32=8x and then divide by 8 which makes 4

Related Questions

How many significant digits are there in the number 237.16?

Answers

Answer:

Step-by-step explanation:

Expand . ( 3x –2 ) 2 need an answer ASAP.

Answers

Answer:

6x - 4

Step-by-step explanation:

For expanding (3x -2) 2 , (3x - 2) is to be multiplied with 2.

(3x - 2) × 2 = 6x - 4

6x-4 it is the distributive property

the amount a gardener gets paid is directly proportional to the number of hours it takes for him to complete the job.
the gardener got paid £70 for a 12 hour job.
how much would he get paid for a job that took a total of 18 hours?

Answers

Answer:

£105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

Here are a couple of other solution methods.

as a proportion

pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

? = £70×(18 hours)/(12 hours) = £70×(18/12)

? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

as direct proportion equation

The equation for a directly proportional relationship is ...

y = kx

If we let y represent pay and x represent hours, then we have ...

70 = k(12) ⇒ k = 70/12 = 35/6

Then for 18 hours, the pay is ...

y = (35/6)x

y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

There are two approaches to solving the equation -3x + 10 = 4x - 20

Subtract 4x from both sides. OR Add 3x to both sides.

–7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

Answers

this is the answer using both approaches

Find a pattern for the sequence. Use the pattern to show the next two terms.
12, 24, 36, 48, . . .
A. Each term is twelve more than the preceding term; 60, 72
B. Each term is twice the preceding term; 72, 96
C. Each term is five times the preceding term; 60, 70
D. Each term is twelve times the preceding term; 60, 72

Answers

Answer:

about this question the sequence of the pattern is according to the table of 12.

Step-by-step explanation:

Table of twelve is.

then the answer will be 60

The slope of the line below is -4. Which of the following is the point-slope
form of the line?
(2,-8)

Answers

Answer:

y+2= -4(x-8)

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

1st one.

Step-by-step explanation:

Ryan invested $5000 in an account that averaged 5% growth per year. Which equation would be used to best model the situation?

Answers

Answer:

f(x)=5000(1+0.05)^x

Step-by-step explanation:

Use the formula: f(x)=P(1+b)^x

P is principal or y-intercept. 5000 is principal.

b is the percentage in decimal form. 0.05 is b.

x is time, in this case years. Since there is not a certain number of years leave x as x.

f(x)=5000(1+0.05)^x

Hope this helps!

If not, I am sorry.

How would i find the domain of this?

Answers

The domain of the graph is {x : x∈ R}

How to determine the domain?

The domain of a function or graph is the set of input values the function can take.

This in other words represents the x values

From the graph, we can see that x values extend indefinitely on both axes.

This is indicated by the arrows at the ends of the curve

This means that the domain is the set of all real numbers

Hence, the domain of the graph is {x : x∈ R}

Answers

Answer:

Step-by-step explanation:

Gradient is the slope, the rise over run, change in y over change in x.

For line A

6/3=2

Gradient=2

For Line B

5/5 =1

Gradient =1

Answer:

•The coordinates of line A (0,1) and (1,3)

gradient formula : y2-y1/x2-x1

gradient :

3-1/1-0=2

Actually you can take any other coordinates for reference!

example :

the other coordinates of line A (0,1) and (2,5)

=5-1/2-0

=2 (same)

•The coordinates of line B (3,2) and (4,1)

Gradient : =1-2/4-3

=-1

the coordinat B =(7,-2) and (-2,7)

=7-(-2)/-2-7

=9/-9

=-1

Note:The line to the right has a positive gradient, and the line to the left has a negative gradient

3. Find x 75° (4x 25)°

Answers

If two lines intersect, then their opposite angles are equal. Then the value of x is 25°.

The missing graph is given below.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Then the value of x will be

75° = (4x - 25)°

100° = 4x

x = 25°

Then the value of x is 25°.

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is 8.6 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

Yes, 8.6 is a rational number because it can be expressed in the form of p/q

[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]

Evaluate the expression (8×6) +(8-3)

Answers

Answer:

(8×6)+8-3

48+8-3

Step-by-step explanation:

please mark me as brainlest

Three teachers shared 4/5 of a flat paper that was donated to the school. what fraction of the flat paper did each teacher receive

Answers

To solve this problem you could do 4/5 divided by 3 which would give you 4/15 as a fraction or 0.2666 as a decimal.

How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1

Answers

The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

What are the solutions of the equations?

The equations are given below.

y = x² + x − 2 ...1

y = – x + 1 ...2

From equations 1 and 2, we have

x² + x − 2 = – x + 1

x² + 2x − 3 = 0

Then the factor of the equation will be

x² + 3x – x − 3 = 0

(x + 3)(x – 1) = 0

x = 1, –3

Then the value of y will be

At x = 1, we have

y = -1 + 1

y = 0

At x = -3, we have

y = -(-3) + 1

y = 4

Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

The graph is given below.

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simplify the equation. 3(x+2)-9x+5

Answers

Distribute

3(x + 2) - 9x + 53x + 6 - 9x + 5

Add the numbers

3x + 6 - 9x + 53x + 11 - 9x

Combine like terms

3x + 11 -9x-6x + 11

Distribute

3(x + 2) - 9x +5

3x + 6 - 9x + 5

Add the numbers

3x + 6 - 9x + 5

3x + 11 - 9x

Combine like terms

3x + 11 - 9x

6x + 11

What is the nth term rule of the linear
sequence
below?
1, 7, 13, 19, 25, . ..

Answers

Answer:

Un= 1+(n-1)6

Step-by-step explanation:

a = 1

d= 7-1= 13-7= 6

and using the formula, Un= a+(n-1)d

Question 7
points 2
ps
sunshine house cleaners mops 1/5 square feet every 2/3 minute. what is their speed in terms of square feet
tio
per minute?

Answers

Their speed in terms of square feet per minute is 3/10 square feet per minute.

We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.

Given that the distance = 1/5 square feet.

The time = 2/3 minute.

Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10

Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.

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Describe the varying vegetation regions in Canada

Answers

Answer:

es fácil solo tienes que Aser 23+578 y hay te da el resultado

8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water Scott drank yesterday? Ascend Learning 8. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water . What was the number of pints of water Scott drank yesterday ? Ascend Learning

Answers

Answer:

4.2 pints

Step-by-step explanation:

3.5 × 1.2 = 4.2

Answer: 4.2 pints

Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D

Answers

A cylinder is a 3D shape having two circular faces.

The answer is Figure A

A circle has a diameter with endpoints (-7, 1) and (-3, 7).

What is the equation of the circle?

r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2

Answers

Answer: (C) r² = (x+5)²+(y-4)²

Solution:-

The given endpoints are (-7,1) and (-3,7)

so the center will be at the mid point of the line connecting these two points.

hence, center ={ (-7+-3)/2, (1+7)/2 }

hence, C= (-5,4)

so, the equation of the circle is:-

⇒ (x-(-5))²+(y-4)²=r²

or, (x+5)²+(y-4)²=r²

CD is the perpendicular bisector of both XY and ST, and CY = 16. Find TY.

Answers

The value of TY is 14

Given that CD is the perpendicular bisector of XY and ST and CY = 16

We need to find the value of TY

Here M is the midpoint of ST and D is the midpoint of XY

As shown in the diagram we can say that

CT = CS =12

We can also say that ST║XY

So , ∠CST = ∠CSY

∠CTS = ∠CYX

ΔSCT = ΔXCY

SX = CS - CX

= CY - CX

We can say that MT = SM = 5

DY = DX = 7

TY = SX = 4

CY = CX = 16

ST = SM + MT

ST= 5+5

∴ ST= 10

XY = XD +DY

XY = 7+7

∴ XY = 14

Hence the value of XY is 14

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a candy bar is in the shape of a triangular prisim the volume of the box is 2400 cubic centimeters. what is the height of the base

Answers

The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.

What is the definition of a triangular prism?

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The complete question is;

"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters. It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"

The volume of the triangular prism;

[tex]\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm[/tex]

Hence, the height of the base will be 15 cm.

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good afternoon can someone please helppp :))))
Triangle XYZ is dilated by a scale factor of 1/4 to form triangle X'Y'Z'. Side YZ measures 18. What is the measure of side Y'Z'?

(Round your answer to the nearest tenth)

Answers

You would do 18 times 1/4 because a dilation is always a multiplication or division because it makes the shape shrink or expand. 18 times 1/4 is 4.5 so that would be your answer:)

Figure A
Figure B
Figure A is rotated 180°, then reflected across the line.
Figure B is reflected across the line, then rotated 180°.
Which of the following shows the two figures after they are
transformed?

Answers

Answer:

The answer is c

Step-by-step explanation:

look at the picture carefully

4. Write an equation that describes the verbal description. Then, explain your thinking.
Teddy opens a new bank account by depositing the $245 he has saved from mowing lawns. He chose
this account because it will accrue 2% monthly and he wants to save up $2,000 for a car within a
couple of years.
P

Answers

Answer:

245 +4.9m = 2000

Step-by-step explanation:

so 245 is what he has and he puts it where he gets 2 percent monthly so 4.9 is 2 percent of 245. 2000 is there because that's how much he wants to save.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the solutions of the equation 8x = 2x + 2. (4 points)

Part B: Make tables to find the solution to 8x = 2x + 2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8x = 2x + 2 graphically? (2 points)

Quickly please! Thank you.

Answers

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4 False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2 False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0 False

For, x = 0

8(0) = 2(0)+2

⇒0= 2 False

For, x = 1

8(1) = 2(1)+2

⇒8= 4 False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6 False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8 False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

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The tables represent the functions f(x) and g(x). f(x) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g(x) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions? x = -3 O x = -1 x = 0 Ox=1 The tables represent the functions f ( x ) and g ( x ) . f ( x ) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g ( x ) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions ? x = -3 O x = -1 x = 0 Ox = 1

Answers

Answer:

x=1

Step-by-step explanation:

There are two functions (f & g), each of which have a table of inputs and outputs. The same list of inputs is given to both functions, but the outputs are different.

Imagine that you asked your Father 6 questions, (weirdly instead of numbered 1 through 6, numbered -3 through 2), and that he gave you a list of answers.

Imagine that you asked your Grandfather the same 6 questions, and you got a list of answers from him.

On which question did they give the same answer?

It was on question number "1", (really the 5th question, but as we've numbered things from -3 to 2, it's question "1").

Since the "questions" were the input, "x", x=1.

Solve the following equations. 2x - y = 8 3x + y = 17

Answers

Answer: (5, 2)

System of equations:

2x - y = 8

3x + y = 17

Solve for x:

2x - y = 8

3x + y = 17

________ +

5x = 25

x = 5

Plug in x to one of the equations to solve for Y

2(5) - y = 8

10 - y = 8

-y = -2

y = 2

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If ADAB ACBA, ZDAB = 35° and ZCBA = 8x + 3 A D x = [?] X C B

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If ADAB
ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B