Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answers

Answer 1

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]


Related Questions

Mr. Evans is paid $10.40 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after that.

Last week, Mr. Evans worked 41.75 hours. He says he earned $434.20 last week. Do you agree? Complete the explanation that supports your answer.

Answers

Answer:

Step-by-step explanation: 16,888 this are the answer

which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2

Answers

A. All the others are false

At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month​

Answers

Answer:

$36.52

you're welcome :)

A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours

Answers

Answer: 1200

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

First, you would divide 480 by 10 to get 48 because you divide by the number of hours.

Then, multiply 48 by 4 to get your answer.

The answer: 192

Susie’s bakery is having a sale on all cookies.The bakery is offering a sale pack 4 cookies

Answers

Is there any more to the question? I cant give an answer based off of that!!

Christa wants to put a fence
around her triangular flowerbed.
The sides of the flowerbed are
six feet, eight feet and 10 feet.
How many feet of fencing will
she need to enclose her flowerbed?​

Answers

Answer:

240 feet

Step-by-step explanation:

In this diagram lines AB and CD are Parallel

Answers

Answer: I need a picture to find out ;-;

Step-by-step explanation:

Answer:

if youre asking for the equation its AB=CD

Step-by-step explanation:

If youre not, you'll need to attach a file or smth :'D

How do you find the length of the side of a parallelogram?
A. slope formula
B. Midpoint formula
c.distance formula

Answers

9514 1404 393

Answer:

  C.  distance formula

Step-by-step explanation:

If you're starting from vertex coordinates, the distance formula is appropriate for finding the length of one side of a parallelogram. It will tell you the distance between two points:

  d = √((x2-x1)² +(y2-y1)²)

An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?

Answers

Answer: 8

Step-by-step explanation:

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Calculation of the time taken:

Since An element with a mass of 650 grams decays by 13.2% per minute.  and there is 220 grams of the element remaining.

So, the mass decays be

= 650 - 220

= 430

Now the total percentage be like

[tex]= 430 \div 650[/tex]

= 66.15%

Now the time taken should be

= [tex]66.15\div 13.2[/tex]

= 5 minutes

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

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610 divided by 20 without a decimal

Answers

Answer:

30 remainder 1 or 30.5

Step-by-step explanation:

please make me brainliest

if sin(x)=2/5 and tan(x)>0 what is sin(2x)

Answers

Answer:

B

Step-by-step explanation:

correct on edge

The answer is, sin (2x)=4√21/25

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

sin(x)=2/5

and tan(x)>0

Then, cos(x)=√21/25

tan(x)=2/√21

Now, sin (2x)=2tan(x)/1+tan²(x)

                    =0.873/1.19

                    =0.733

                    =4√21/25

To learn more trigonometry click:

https://brainly.com/question/26719838

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Helppp meeee plzzz thanks

Answers

Answer:

500+4=504

Step-by-step explanation:

Hope it helps

Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2

Answers

Answer:

it's b on edge 2020

Step-by-step explanation:

you're welcome :)

The equations of the line that passes throught the point given in the table are as follows;

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

Equation of a straight line

The linear equation of a striaght line is represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore,

m = 1 - 2 / -4 + 10

m = - 1 / 6

Let's find b using (-10, 2)

2 = - 1 / 6(-10) + b

2 = 5 / 3 + b

b = 2 - 5 / 3

b =  6 - 5 / 3

b = 1 / 3

hence,

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

using y - y₁ = m(x - x₁)

y₁ = 2

x₁ = -10

m = - 1 / 6

Hence,

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

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Graph the line y=2+1/x

Answers

2+1= 3

So is three ;-;?

Answer:

THERE U GO

Step-by-step explanation:

HOPE THIS HELPS

D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F

Answers

Answer:

A) E, F, H, N

Step-by-step explanation:

I think so......

write an equation of the line with a slope of -3/4 and y-intercept of -6

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer: y = (-3/4)x - 6

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long ​

Answers

Answer:

33 minutes

Step-by-step explanation:

It would tale her 1.5 min for each page

What is 0.0033 in scientific notation?

Answers

3.3 * 10^-3

Moving the decimal right gives a negative power

Answer:

[tex]=3.3*10^{-3}[/tex]

q(x)=2 −2+? please solve this huhu

Answers

Answer:

I mean it would just be q(x) = 0

Step-by-step explanation:

Answer: q=0

Step-by-step explanation: Let's solve for q.

qx=2−2

Step 1: Divide both sides by x.

qx

x

=

0

x

q=0

Answer:

q=0

Sara hired her brother James to help her sell
lemonade. Sara agreed to pay James $1.00, plus
$0.10 for each glass of lemonade that he sold.
Sara paid James $3.60. How many glasses of
lemonade did James sell?

Answers

Answer:

3 Lemonade

Step-by-step explanation:

We add $1.00 with $0.10, then we get $1.10

We then divide $1.10 to the amount Sara paid

$3.60/1.10, we will get the answer 3

giving brainliest it’s due asap pls help

Answers

Answer:

AB is parallel to CD - the reasoning looks right aswell although I don't know exactly what I'm answering here.. are you asking to check it?

Helpppppp I don’t get it

Answers

Answer:

-3y + 2x - 4

Step-by-step explanation:

Answer:

-3y - 4 + 2x

Step-by-step explanation:

when it says combine like terms, it means combine the terms that have the same variable

-7y, -2y, and 6y all have the same variable: y

so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)

-2 and -2 are like terms, they don't have a variable

when you combine them, you get -4

-4x and 6x are like terms, their common variable is x

when you combine these, you get 2x

now put your answers together to get -3y - 4 + 2x

Consider the rectangle reduction.

What is the missing dimension of the reduced rectangle?

11/5, 11/8, 17/15, 17/20.

Answers

Answer:

11/15

Step-by-step explanation:

17/8 is to 17/20 as 11/6 is to x.

(17/8) / (17/20) = (11/6) / x

(17/8)x = 17/20 * 11/6

(17/8)x = 187/120

(8/17) * (17/8)x = 8/17 * 187/120

x = 11/15

Answer:

11/15

Step-by-step explanation:

just got it right !! :)

Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

2

Step-by-step explanation:

Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.

How many pieces of glass will he need to make a window that is 864 square inches?

Answers

Answer:

Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.

Find the missing side lengths leave your answerss as radicals

Answers

Answer:

n=7

m= 7[tex]\sqrt{3}[/tex]

Step-by-step explanation:

lmk if you need work

Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for the system of equations? Enter your answer by filling in the boxes.

Answers

Answer:

y=x+2

y=-x+8

Step-by-step explanation:

Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan

Answers

Answer:

2415 Chinese yuan (rounded off to nearest yuan)

Step-by-step explanation:

£0.13 = 1 Chinese yuan

£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan

       = 2415 Chinese yuan (rounded off to nearest yuan)

which value would make the statement true?
Statement- 2/?>4/12

Options- A.4
B. 6
C.12
D.24​

Answers

Answer:

C and D.

Step-by-step explanation:

2/6 = 1/3                                    4/12 = 1/3

2/4 = 1/2

2/12 = 1/6

2/24 = 1/12

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