A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the exterior angle.

Answer:

v = 13

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

54 + 61 + 5v = 180

Step 2: Solve for v

And we have our final answer!

Answer:

13°

Step-by-step explanation:

Neccessary information:

Total internal angles in a triangle is equal to 180°.

Method:

The first step is to add the given values of 54 and 61, this gives you 115. This is because the total internal angle in a triangle is 180°. This means that in order to work out the value of v we must add the given values to find how much of the 180° is already known.

The next step is to find the value of 5v. This can be done by subtracting 115 (Total of the values given) from 180, this gives you 65(5v). This is because we are finding how much of the 180° total is not known.

The final step is to divide the value of 5v which is 65 by 5, this gives you 13. This is because 65 is equal to 5v so to work out the value of v you would need to divide by 5.

Step by step:

1) Add 54 and 61.

[tex]54+61=115[/tex]

2) Subtract 115 from 180.

[tex]180-115=65[/tex]

3) Divide 65 by 5.

[tex]65/5=13[/tex]

Answer:

J(x)=(-1x+4)^1/2

Step-by-step explanation:

The value of b and h are -1 and 4 after applying the transformation to the parent function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

The graph shows function j, a transformation of f(x)

[tex]\rm f(x) =x^{\dfrac{1}{2} }[/tex]

First plot the above function on the graph paper of the coordinate plane.

From the graph,

The domain of the function f(x) is all real numbers

The range of the function f(x) is all real numbers.

As we can see in the graph of function j(x)

To find the equation for the function j(x):

Applying transformation to the function f(x)

x → (x + 4)

The function will shift 4 units right

[tex]\rm F(x) =(x+4)^{\dfrac{1}{2} }[/tex]

Applying the second transformation:

x → -x

[tex]\rm J(x)=(-x+4)^{\dfrac{1}{2}}[/tex]

The function will reflect at the line x = 2

Thus, the value of b and h are -1 and 4 after applying the transformation to the parent function.

Learn more about the function here:

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Answer:

1.14285714 or 8/7

Step-by-step explanation:

Divide 1 by 7/8 which will give you 8/7 or 1.14285714.

Answer:

y=3x+5

Step-by-step explanation:

Point slope equation:

y=mx+b

m-slope, b- is y-intercept

equation given 2 points

y-y1 = m(x-x1)

For point (1,8) and slope m=(y2-y1)/(x2-x1) = 20-8/5-1=12/4=3

y-8 =3(x-1)

arange it in point slope format

y-8=3x-3

y=3x-3+8

y=3x+5

Answer:

[tex] y = 10x [/tex]

Step-by-step explanation:

Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10 [/tex]

y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.

Substitute m = 10 and b = 0 in [tex] y = mx + b [/tex]

The equation in slope-intercept form for the graph would be:

✅[tex] y = 1x + 0 [/tex]

[tex] y = 10x [/tex]

Answer:

$4.1

Step-by-step explanation:

To find the Unit Rate, you have to find how much it cost of 1 lb. So, you have to divide 16 and 3.99

16/3.99

= 4.01002506

≈ $4.1

Step-by-step explanation:

7200 ÷ 300 = 24

30 - 24 = 6

6/24 × 100/1 = 25%

The markup percent of 300 shirts is 25%.

Markup price is defined as the difference of the selling price and the cost price of a product.

Markup percent can be found as,

Mark up % = profit / cost price × 100.

Given that,

The cost price for 300 shirts is 7200.

And, the selling price for each shirt is $30.

Then the selling price for all 300 shirts is 300 × 30 =$9000.

The markup percent can be found by taking the ratio of the difference of the selling and cost price to the cost price and then multiplying it by 100 as below,

Mark up percent = (Selling price - Cost price)/ Cost price × 100%

                           = (9000 - 7200) / 7200 × 100%

                           = 1 / 4 × 100%

                           = 25%

Hence, the percent markup is 25%.

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Answer:

7.50

Step-by-step explanation

Multiply 1.50 by 5 and you get 7.50.

Answer:

4+m=4m

Step-by-step explanation:

Because 4 plus m is 4m

Answer:

The second answer is correct.

Step-by-step explanation:

1 quart = 0.95 litres

15 quarts = 15 quarts * 0.95 litres/quart, which is the second answer.

Answer:

The Correct Answer is A.

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

2y=-3x+20

2y=-3(12)+20

2y=-36+20

2y=-16

y=-8

Answer:

y = -8

Step-by-step explanation:

2y = -3x + 20

2y = -3(12) + 20

2y = -36 +20

2y = -16

y = -16/2

y = -8

Answer:

Step-by-step explanation:

1. -2

2. 3 ⅓

3. -6.2

4. -21.6

5. -19.8

6. 16.8

7. 36

8. -2.10

9. -8.20

10. 31.5

11. -20

12. -⁴/9

13. 9

14. ½

Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

yes -5 and 8

Step-by-step explanation:

Answer:

What are you asking for?

Step-by-step explanation:

If you have a picture or link then its not attached

ill put answer in comments if you make what you want clearer

Answer:

b = 40°

Step-by-step explanation:

Since PQ = RQ, then Δ PQR is isosceles

Thus the 2 base angles are congruent

∠ PRQ  = 180° - 140° = 40° ( adjacent angles are supplementary )

Then

∠ QPR = ∠ PRQ = b = 40°

Answer:

40 degrees

Step-by-step explanation:

The image says that PQ=RQ which makes this triangle isosceles. To solve you must remember that in isosceles triangles the two base angles are always congruent. In this case, the two bottom angles are the bases. So we must first solve for m<QRP. To do this use complementary angles to make the equation m<QRP=180-140. So m<QRP=40 which means b=40 also.

Answer:

So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)

Step-by-step explanation:

Possible Answers:

14 kids and james- 2 candies each

9 kids and james- 3 candies each

1 kid and james -  15 candies each

4 kids and james - 6 candies each

2 kids and james - 10 candies each

There might be more, but those are the ones at the top of my head

I hope this helped, please mark Brainliest, thank you!! :)

Answer:

ratio is 7 to 2

Step-by-step explanation:

ratio of AB : JK is 49 : 14 divide both sides by 7 and you get 7 :2

Answer:

Step-by-step explanation:

The other root is 5 + 7i

Answer:

76

Step-by-step explanation:

Answer:

The answer will be listed below.

Step-by-step explanation:

I don't see any options, but to find a line with a slope of zero, the line must be straight either vertically or horizontally.

A vertical line has a slope of zero.

Answer:

slope 3

y-intercept (0,5)

x        |      Y

-5/3           0

0                5

Step-by-step explanation:

make your first point at y 5

Answer:

y=2/3x+5

Step-by-step explanation: