Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.

Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.

Part B: Set Up An Equation And Solve For X. In Your Answer, Include The Equation, Your Calculations And

Answers

Answer 1

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°


Related Questions

The probability of getting a 4- bedroom home with a open porch based off the table.

Answers

All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!

help me pls I've been waiting for an hour to get an answer I'm willing to sacrifice my points ...

Deidre goes out for lunch and realizes that she only has $10 with her. If she wants to leave a 20% tip and knows she will have to pay 5% tax on her lunch, what is the most expensive lunch she can order?

Answers

Answer:

I think it's probably 8$ Edit: 7.5$ i did the math wrong

Which expression is equivalent to (4+3i)^2+(6-I)^2

Answers

Answer:

[tex]\large\boxed{(4+3i)^2+(6-i)^2=42+12i}[/tex]

Step-by-step explanation:

[tex](4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i[/tex]


KNOWLEDGE CHECK!!!ALEKKSSSS

Answers

Answer:

2,5

Step-by-step explanation:

Add three

6/4 as a whole number or a mixed nimber

Answers

Answer: 1 2/6 which needs to be simplify which is 1 1/3.

We can see here that 6/4 as a mixed number is =  1 (1/2).

What is mixed number?

A mixed number is a representation of a number that includes both a whole number and a fraction. It consists of an integer part and a fractional part. The integer part represents a whole number, while the fractional part represents a proper fraction.

To express 6/4 as a mixed number, you divide the numerator (6) by the denominator (4) and express the remainder as a fraction with the same denominator. In this case, 6 divided by 4 is 1 with a remainder of 2. So, 6/4 can be written as the mixed number 1 (2/4), which can be simplified to 1 (1/2).

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what number will make 3/4 x 7/8 = 7/8 x true?

Answers

Answer:

3/4

Step-by-step explanation:you divide both sides by 7/8, so x=3/4.

Answer:

3/4

Step-by-step explanation:

Given

3/4 x 7/8

Multiply through

21/32

Divide by 7

3/4

How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?

Answers

The first option is correct

Answer:

Switch the x- and y-coordinates

Step-by-step explanation:

Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.?

Answers

Answer:

Actually, the other answer the other person put was incorrect.

Step-by-step explanation:

The reason for this being that the correct answer is actually "-5 is a real number". Most all numbers are real numbers, if you haven't gotten into complex numbers yet

Hope this helps even if it's really late, just know that the other answer somebody else put is incorrect.

Answer:

The number -5 is a real number.

Step-by-step explanation:

20% of a is 11, what is a
75% of b is 12, what is b
80% of c is 20, what is c
200% of d is 18, what is d

Answers

Answer:

20% of a is 11, what is a

a =55

75% of b is 12, what is b

b = 16

80% of c is 20, what is c

c = 25

200% of d is 18, what is d

d = 9

Step-by-step explanation:

20% of a is 11, what is a

20a = 1100

a =55

75% of b is 12, what is b

75b = 1200

b = 16

80% of c is 20, what is c

80c = 2000

c = 25

200% of d is 18, what is d

200d = 1800

d = 9

What is the area of the rectagle 12 ft 4 ft

Answers

12x4=48
Final answer is 48 ft square

12 times 4 equals 48ft

Find the slope between the
following points:
(11,-16) and (17,-9)

Answers

Answer:

m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6

the slope=7/6

Step-by-step explanation:

the slope is difference between y/ difference between x

a number decreased by 7 is less than 4

Answers

Answer:

one example is 10

Step-by-step explanation:

10 - 7 = 3

3 < 4

Answer:

I believe it can be any number above 4

Step-by-step explanation:

because any number above 4 minus 7 is a number under 4

10. The physician ordered 3.75 mg of Warfarin sodium. Available are Warfarin 7.5 mg scored
tablets. How many tablets will you give?​

Answers

3.75 Because 7.5-3.75 equals that

I need the answer quick

Answers

-1 1/3 -> -1.3

Decimal Form: −1.3

Convert the fraction to a decimal by dividing the numerator by the denominator.

1/6 -> 0.16

Decimal Form: 0.16

Solve for x in the diagram below

Answers

Answer:

[tex]x=6^o[/tex]

Step-by-step explanation:

we know that

[tex]5x^o+(x+54)^o=90^o[/tex] -----> by complementary angles

solve for x

[tex]6x=90-54\\6x=36\\x=6^o[/tex]

Choose the constant that could be multiplied by each equation to create a system of equivalent equations with opposite terms.

2x + 3y = 1
5x + 2y = 8

The first equation can be multiplied by 5 and the second equation by 2.
The first equation can be multiplied by –5 and the second equation by –2.
The first equation can be multiplied by –5 and the second equation by 2.

Answers

Answer:

I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).

Step-by-step explanation:

Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.

Answer:

The 3rd one

Step-by-step explanation:

2 A town park has two biking trails. Marsh Trail is 5 miles long, Woodland Trail is
25 miles long. How much longer is Marsh Trail than Woodland Trail?
A. 31
c. 733
D. 2 ²​

Answers

Answer:

By 20 miles

It should be 20, since you are seeing how much apart is from Trail Marsh and Trail Woodland. Subtract 5 from 25, and you get 20

The length of rectangle is 7.1 cm and breadth 2.5 cm what is the area of rectangle

Answers

Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]

Rashad is paid time-and-a-half for any overtime he works weekly. He worked 10 hours overtime last week and earned $120. What is his regular hourly pay?

Answers

Answer:

$12 hourly

Step-by-step explanation:

120 ÷ 10 = 12


[tex] 8 \frac{7}{9} + 4 \frac{1}{8} [/tex]

Answers

Answer: 8 7/9 + 4 1/8 = 929 /72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

Add: 79

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.

Answer: 12 65/72  

Step-by-step explanation:

1)  [tex]79/9+33/8[/tex]

Get your answer (as an improper fraction): [tex]929/72[/tex]

2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72

Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line. parallel tot he line x=16; containing the point (-3,3)

Answers

Answer:

Step-by-step explanation:

Evaluate the expression?????

Answers

so the answer is 15.6

Answer: 15.6

Step-by-step explanation:

Identify the center and radius of each.

Answers

Step-by-step explanation:

The general equation of a circle with centre (h,k) and radius r

(x-h)²+(y-k)²=r²

Here, (x+5)²+(y-13)²= 10

=>{x-(-5)}²+(y-13)²=(√10)²

center: ( -5,13)

radius: √10

option C

The scale on a map is 1 cm for every 600 km. If Seattle and Maine are 10 cm apart on the map, then approximately how far apart are they really?

Answers

Answer: 6000 km

Step-by-step explanation:

600 x 10

6000

When multiplying by 10 you add a zero to the end.

Answer:

6,000

Step-by-step explanation:

I think I'm not sure but if for every 1cm=600km then you multiple

1cm=600km

10cm=6,000km

the center of the circle is at (5, 5). what is the circumference? PLZ HELP!!

Answers

Answer:

Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?

Step-by-step explanation:

Order these numbers from greatest to least: -4 , 1/4 , 0 , 4 , -3 1/2 , 7/4 , 5/4

Answers

Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4

Step-by-step explanation: please give brainliest and thankyou

Emanuel is planting trees along a new city sidewalk. He plants the same number of trees on each city block. After 3 blocks, he has planted 15 trees. After 5 blocks, he has planted 25 trees. At what rate is Emanuel planting trees?

Answers

Answer:

Every 1 Block he is planting 5 tree's.

Step-by-step explanation:

There are multiple ways you can do it but the easiest I prefer is just to divided The Tree's by the Blocks.

Ex: 6 Blocks is 30 trees, Divide 30 by 6 and you get 5 for every block.

Final answer:

Emanuel is planting trees at a rate of 5 trees per block. This is determined by dividing the total number of trees by the total number of blocks planted.

Explanation:

Emanuel is planting trees at a consistent rate. To find this rate, we can set up a simple ratio.

He planted 15 trees in 3 blocks, which simplifies to 5 trees per block. This can be confirmed by looking at the second part of the problem. After 5 blocks, he had planted 25 trees. If we divide the total number of trees by the total number of blocks (25 trees / 5 blocks), we also get 5 trees per block.

Therefore, the rate at which Emanuel is planting trees is 5 trees per block.

Learn more about Rate of planting trees here:

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Five times the sum of a number and 6 equals 3

Answers

Answer:

5x+6=3

Step-by-step explanation:

"A number" is a variable.

"Sum" is addition.

"Equals 3" is =3.

"and six" relates to "sum".

So when you put these together it would be 5x+6=3

5(x+6)=3.
You need the sum first. So the number and 6 need to go in the parenthesis. Then put the 5 outside of the parentheses like the question asks. It says five times the sum so after the sum you need to multiply by 5.

Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in
minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below.
Jose has 48 miles remaining after 50 minutes of driving. How many miles were remaining after 34 minutes of driving?

Answers

Answer:

  63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

  y = m(x -x1) +y1

  y = -0.95(x -50) +48

We want to find the value of y for x=34.

  y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

If the side of square is 1/5 inches. Then what is the area of the square?​

Answers

Answer:

1/25

Step-by-step explanation:

1/5*1/5=1/25

because lenght times width equals area

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