In the diagram shown, what is the measure of angle BAC?

In The Diagram Shown, What Is The Measure Of Angle BAC?

Answers

Answer 1

Answer:

Option (B)

Step-by-step explanation:

By exterior angle theorem,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the given theorem,

8x - 30 = (4x + 8) + (2x + 2)

8x - 30 = 6x + 10

8x - 6x = 40

2x = 40

x = 20

m∠BAC = (2x + 2) = (2×20) + 2

                              = 42°

Therefore, Option (B) will be the answer.


Related Questions

Caculate the unit rate. A ball drops 160 feet in 4
seconds. How many feet dropped per second?

Answers

Answer:40ft/second

Step-by-step explanation:

Divide 160ft by 4sec to find the unit rate.

Answer:

40

Step-by-step explanation:

You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40

Hope this helps! Good luck :)

How do you turn 17/20 into decimal

Answers

Answer:

Divide 17 by 20.

Step-by-step explanation:

Answer is 0.85.

Answer:

0.85

Step-by-step explanation:

[tex]\frac{17}{20} \\\\[/tex]

Through long division

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 20\overline{|\smallspace17}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\[/tex]

1. 1-8-7
Pls help me

Answers

Answer:

-14

Step-by-step explanation:

I did the math

-14 it’s a negative

The ratio of girls to boys in chess club is 3:4. There are 35 total members. How many boys were there?

Answers

3+4=7 (the total)
4/7=x/35
Cross multiply
7x=140 divide 7 on both sides
Your answer is x= 20
Pls give brainliest, thank u

Solve this equation and show work.
3/5x + 2 = 7

Answers

Answer:

x = 25/3 or 8 1/3

Step-by-step explanation:

Step 1:

3/5x + 2 = 7       Equation

Step 2:

3/5x = 5        Subtract 2 on both sides

Step 3:

x = 5 ÷ 3/5       Divide 3/5 on both sides

Step 4:

x = 5 × 5/3      Multiply

Answer:

x = 25/3 or 8 1/3

Hope This Helps :)

18 cm
30 cm
24 cm
cm
What is x

Answers

24cm is x. I think hope this helps

a water balloon was thrown from the window. The height of the water balloon over time can be modeled by the function y=-16square2+160x+50

Answers

The maximum height of the water balloon : 450 m

Further explanation  

Quadratic function is a function that has the term x²  

The quadratic function forms a parabolic curve  

The general formula is  

f (x) = ax² + bx + c  

where a, b, and c are real numbers and a ≠ 0.  

The parabolic curve can be opened up or down determined from the value of a. If a is positive, the parabolic curve opens up and has a minimum value. If a is negative, the parabolic curve opens down and has a maximum value  

So the maximum is if a <0 and the minimum if a> 0.  

The formula for finding the coordinates of the maximum and minimum points of the quadratic function is the same.  

The maximum / minimum point of the quadratic function is  

[tex]\rm -\dfrac{b}{2a},-\dfrac{D}{4a}[/tex]

Where  

D = b²-4ac  

The function h (t) = -16x²+160x+50

so the value of a <0, then it has a maximum value  

Because we are looking for maximum height, then we find the value of the y coordinate, with the formula  

[tex]\rm -\dfrac{D}{4a}[/tex]

Questions we might add :

What was the maximum height of the water balloon after it was thrown?

We can also use the first derivative of the above function to find the maximum value

[tex]\tt h'=0=-32x+160\\\\-32x=-160\\\\x=5[/tex]

input to function :

[tex]\tt h=-16x^2+160x+50\\\\h=-16(5^2)+160(5)+50\\\\h=-400+800+50=\boxed{\bold{450~m}}[/tex]

A class ordered six 8-slice pizzas. Each student ate 1 1/2 slices and no pizza was left over. How many students were there?

Answers

Answer:

There are 32 students.

Step-by-step explanation:

If there are six 8-slice pizzas, that means that there is 48 slices total. If each student ate 1 1/2 slices, you can divide 48 and 1.5, and you will get 32. That is the number of students in the class. Hope this helps!

Enter the equation of the line in slope-intercept form. Slope is − 2/3 and (-9,5) is on the line. The equation of the line is y=?

Answers

Answer:

The equation is y = 2/3x - 1

Step-by-step explanation:

To build the equation, we know the slope is -2/3, so that is done for us already. Now we just need the y-intercept, which is -1, which is the only way to get it to cross the point (-9, 5). So, the equation would be y = 2/3x - 1, while still meeting all of the qualifications. I hope this helps, and I hope it's not right, but I do not think it is.

Math helps us think analytically and have better reasoning abilities. Analytical thinking refers to the ability to think critically about the world around us Analytical and reasoning skills are essential because they help us solve problems and look for solutions.

Answers

Answer:

True

Step-by-step explanation:

These statements are all completely true, Analytical thinking allows us to quickly interpret and understand different aspects of the world around us by creating a step by step explanation of how and why something occurs, thus making complex things easier to understand by dividing it into parts. This explanation can be with logic or with Math which uses numbers to make sense of phenomenons that would otherwise make no sense to us at all.

20 POINTS FOR AN EXPLANATION!!!

Answers

Answer:

Graph using a table of values.

x         y

−2║−7/3

−1║−5/3

 0║ −1

  1║−1/3

 2║1/3

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (32,0)

y-intercept(s): (0,−1)

Step-by-step explanation:

F(x)=2/3x-1

Answer:

Graph using a table of values.

x         y

−2║−7/3

−1║−5/3

0║ −1

 1║−1/3

2║1/3

Step-by-step explanation:

Find the slope of the line passing through the pair of points. (−4, −5) and (5, 4) A. −1 B. 1 C. 9 D. −9

Answers

Answer: A. -1

Explanation: 4-5/5-4= -1/1 = -1

Which number line Shows the graph of -2.75

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer C

Step-by-step explanation:

helppppppppppppppppppppppppp

Answers

What is the question

Answer:

with what

Step-by-step explanation:

help

[help]

VERB

make it easier for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores" · [more]

synonyms:

assist · aid · help out · lend a hand to · lend a helping hand to · [more]

(help someone to)

serve someone with (food or drink).

"she helped herself to a cookie"

(can/could not help)

cannot or could not avoid.

"he could not help laughing" · [more]

synonyms:

be unable to stop · be unable to prevent oneself from · [more]

NOUN

the action of helping someone to do something; assistance.

"I asked for help from my neighbors" · [more]

synonyms:

assistance · aid · a helping hand · support · succor · advice · guidance · [more]

EXCLAMATION

used as an appeal for urgent assistance.

"Help! I'm drowning!"

five decreased by twice a number

PLS HELP PLS ASAP

Answers

Answer:

5-2x

i took this in my algebra class

the cost of dinner is 14.45 and you want to leave a 20% tip how much money do you need for dinner including the tip? ​

Answers

The answer is 17.34

HELP ME PLS !!!!! HELP ME

Answers

Answer:

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

Step-by-step explanation:

Two angles are adjacent when they have a common side, a common vertex, and don't overlap.

The image shows the following angles are adjacent:

YVZ and YVX

YVZ and YVW

YVX and XVW

Furthermore, two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

The first, fourth, and fifth options are true as shown above, which discards as true the second option.

The only probable false option is that XVW and YVX are the same size. They certainly could be, but we have to evidence of that, thus this option is considered false.

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

I need help with #6 & #7 !!

Answers

Answer:

6 is b, 7 is c

Step-by-step explanation:

Answer:

#6 wants you to find out what answer from the 4 expressions gives you the least or smallest number. For #7, you need to follow PEMDAS in order to get the right answer.

Step-by-step explanation:

#6, the answers you get are 8, -9, -3, and 9. You need to choose the smallest number. Negative numbers are smaller than positive numbers, so you can immediately eliminate 8 and 9. You have to be careful when comparing negative numbers because the larger negative number is actually smaller than the smaller negative number since it is further away from the zero. So, negative -9 would be smaller than -3 in this case.

#7, I would divide the -720/12 first. This results in -60. Then, divide the -60 by -10. This gives you an answer of positive 6.

ANSWERS:

#6 : B

#7 : C

what are the variable terms for 7k-8k?​

Answers

Answer:

k

Step-by-step explanation:

k is variable term for given expression

You deposit $300 in a savings account. The account earns 2.5% annual simple interest. What is the account balance after 2 years?

Answers

Answer:

15$ would be earned

Step-by-step explanation:

This is because 2.5% of 300 is 7.5 than multiply it by 2 and you get 15.

What two numbers multiply to 36 and add up to -37?

Answers

Answer:

2 and -18

Step-by-step explanation:


HELPP MEEE PLEASE SO YOU CAN HELP ME GET MY ALBUMS BACK AND POSTERS AND EVERYTHING

Answers

Answer:

C

Step-by-step explanation:

The second of two numbers is 9 more than 4 times the first. Their sum is 89. Find the smaller number.
HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

i think the first number is 20 and the second is 69

Step-by-step explanation:

Answer:

I think the answer is 53

Step-by-step explanation:

9x4=36

And ask what would give you 89 from 36

89-36=53

2.Jo A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint? Explain how you know. 3/7 I know this because I did 7 divided by 3 which Was 2 ⅓ so then I did 1 times 2 ⅓ which is 2 . ⅓. What is the constant of proportionality? Explain how you know. 3/7 is the constant of proportionality.

Answers

Answer:

x = 3/7

Step-by-step explanation:

Red paint : White paint = 3 cups : 7 cups

How many cups of red paint should be added to 1 cup of white paint

Red paint : White paint = x cups : 1 cup

Equate the ratios

3 cups : 7 cups = x cups : 1 cup

3 / 7 = x / 1

Cross product

3 * 1 = 7 * x

3 = 7x

Divide both sides by 7

x = 3 / 7

Number of cups of cups of red paint that should be added to 1 cup of white paint is 3/7

I did this by representing the unknown number of cups of red paint with x and equating the two ratios

A line passes through the points (2, -1) and (9,3). What is the slope of the line?

Answers

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{4}{7} }}}[/tex]

Step-by-step explanation:

Let the points be A and B

[tex] \sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}[/tex]

[tex] \sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope}}: [/tex]

[tex] \boxed{ \rm{Slope \: ( \: m \: ) \: = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \rm{Slope = \frac{3 - ( - 1)}{9 - 2} }[/tex]

[tex] \rm{Slope = \frac{3 + 1}{9 - 2}} [/tex]

[tex] \rm{Slope = \boxed{ \rm \frac{4}{7} }}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl


A.2/3
B.-3/2
C.-2/3
D.3/2

Answers

Answer:

C. -2/3 is the answer hope this helps

What is the piecewise function of h(6)

Answers

Answer:

we need more info

Step-by-step explanation:

We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.

f(z) = 7 +9.5
for z = 19

Answers

Answer:

16.5

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

5χ= 140
Ο Α. x= 28
Ο Ο Ο
Ο Β. x= 135
Ο C. χ= 14
Ο D. x= 700

Answers

9514 1404 393

Answer:

  A.  x = 28

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  [tex]5x=140\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\\boxed{x=28}[/tex]

Alonzo has a batting average of 0.325 and his best friend Archie has an average of 0.299. How much higher is Alonzo's batting average than Archie's average?
A. 0.026
B. 0.034
C. 0.174
D- 0.624

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation: 0.325 - 0.299 = 0.026
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