Quadrilateral ABCD is a parallelogram. Determine the measure of _A.
OA) 96°
B) 78°
C) 52°
OD) 39°
Answers
Answer:
The measure of angle A is: m∠A = 96
Therefore, option A is true.
Step-by-step explanation:
Given
m∠C = 3x
m∠D = x+52
We know that the opposite angles of a parallelogram are also equal.
Determining m∠A
It is clear that A is the opposite angle of C.
i.e.
m∠A = m∠C
as m∠C = 3x
so m∠A = 3x
Determining m∠B
It is also clear that B is the opposite angle of D.
i.e.
m∠B = m∠D
as m∠D = x+52
so m∠B = x+52
We know that the sum of the angles of a parallelogram is 360°.
so
m∠A + m∠B + m∠C + m∠D = 360°
3x + (x+52) + 3x + (x+52) = 360°
Group like terms
[tex]3x+x+3x+x+52+52=360^{\circ \:}[/tex]
[tex]8x+104=360^{\circ \:}[/tex]
Subtract 104 on both sides
[tex]8x+104-104=360^{\circ \:}-104[/tex]
Simplify
[tex]8x=360^{\circ \:}-104[/tex]
[tex]8x=256[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{256}{8}[/tex]
Simplify
[tex]x=32[/tex]
Thus,
The measure of the angle A is:
m∠A = 3x
substitute x = 32
m∠A = 3(32)
m∠A = 96
Hence, the measure of angle A is: m∠A = 96
Therefore, option A is true.
Related Questions
PLEASE HELP! CORRECT ANSWER WILL GET BRAINLIEST
Answers
Answer:
y<1/4x+3
Step-by-step explanation:
pleaseeeee.. :)))))))
Answers
Answer:
Your picture Is blocked for me
Danielle and hector are selling raffle tickets to raise money for the school band.Danielle sells 5 tickets per day for 4 weeks straight.she then sells 4 tickets per day for 1 week.how many tickets does hector need to sell if he wants to sell mor tickets than Danielle
Answers
Answer:
more than 168 tickets
Step-by-step explanation:
4 weeks = 28 days
5 x 28 = 140
1 week = 7 days
4 x 7 = 28
140 + 28 = 168
In order for hector to sell more than Danielle he has to sell a # of tickets that is greater then 168.
Evaluate 5 + 3x for (a) x= -2 and (b)x= 3. Write your answers in simplest form.
Answers
Answer:
a. -1
b. 14
Step-by-step explanation:
a.
5 + 3(-2)=
5 + (-6)=
-1
b.
5 + 3(3)=
5 + 9=
14
When x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
Here, we have,
given equation is: 5 + 3x
To evaluate the expression 5 + 3x for the given values of x:
(a) When x = -2:
5 + 3(-2)
= 5 - 6
= -1
(b) When x = 3:
5 + 3(3)
= 5 + 9
= 14
Therefore, when x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
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Paul paid $10 for a ticket to the fair and then another $2 per ride. Write an equation to show how many rides x, Paul can take if he has $40.
2x = 40
2x - 10 = 40
10x + 2 = 40
2x + 10 = 40
Answers
Answer:
D) 2x+10=40, x= 15 rides
Step-by-step explanation:
Since Paul only bought one ticket, then $10 is the constant of the equation. Since Paul pays $2 per ride, $2 will be the rate/coefficient of the equation.
Since we are solving for x, $40 will be on the right side of the equation
Putting these three facts together, we can make the equation 2x+10=40 which means D is correct
You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.
Answers
Answer:
P = 0.5c - 75
Step-by-step explanation:
Profit is = selling price. - cost price
Cost price is the amount the supplies were bought = $75
The cost of c cups at $0.5 per cup will be
0.5 * c = $0.5c
The profit here is thus;
P = 0.5c - 75
5. Use the given figure to solve X- Justify each step below.
2x
*+79
Answers
Answer:
2x + 79= 0
2x = -79
X = -79/2
X = -39.5
solve the following systems of equations.
5x+3y+4z=1
4x-7y+3z=0
x+5y-2z=-11
Answers
Answer:
x= 8
y= -5
z= 0
Step-by-step explanation:
this is the correct answer to this system of equations.
Will mark BRAINLIST only if correct answer
Please need help ASAP only answer if u know the correct answer
Answers
Answer:
its the last one third and first
Step-by-step explanation:
Find the surface area of the prism.
The surface area is square millimeters.
Answers
Answer:
57.1mm^2
Step-by-step explanation:
4*4=16
16/2=8mm^2 cross section
(4*3) + (4*3) + (5.7*3) = 41.1mm
8*2=16
41.1+16=57.1mm^2
The surface area of the prism is S = 57.1 mm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 4 x 4 )
T = 16 mm²
R = 2 x ( 3 x 4 )
R = 24 mm²
And , U = 5.7 x 3
U = 17.1 mm²
Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²
S = 57.1 mm²
Hence , the surface area of prism is S = 57.1 mm²
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
Answers
2. There are two different sizes of Fanta Pinapple for you to get. The first one is a
12 oz can, and the bottle has 33% more. How much does the bottle contain
approximately?
4 OZ
0 21 oz
O 16 oz
O 19 oz
Answers
Answer:
12/100*133= 15.96
approx 16oz
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
Answers
What is the 30th term in the sequence 10, 12, 14, 16, 18...?
I need help plzz
Answers
Answer:
68
Step-by-step explanation:
There are 2 ways you can do this.
1: You can count it up!
10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68!
2: You can do multiplication and addition.
2 x 30 + 8 = 68
Answer:
68
Step-by-step explanation:
the 30th term is 68
the pattern is 2n+8
2n+8
2x30+8 dont thank me thank the other guy
please help me on this will give you brainliest
Answers
The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:
36/40 and 35/40, respectively.
Thus, the left fraction is greater than the right fraction
The ratio of wins to losses was 3 to 5 for the Jackals
baseball team last season. The Jackals won 21 games
last season.
How many games did the Jackals lose last season?
Answers
Answer:
35
Step-by-step explanation:
3:5
21;35
as it must be * by 7 as 3*7=21
so therefore we times 5*7 as well
so they has 35 loses
Footlocker has sale ln any three shirts for $55.50 meanwhile nike is having their own sale ln any five sale shirts for $79.99 which store offers the best deal what is your saving per shirt
Answers
Answer:
The nike store offers the best deal
The saving per shirt is $2.50
Step-by-step explanation:
Here, we want to compare the prices offered in the two stores
In footlocker, you can get 3 shirts for $55.50
The sales per shirt is thus;
55.5/3 = $18.50
For Nike,
5 shirts for $79.99 which is almost $80
So the price per shirt is $80/5 = $16
We can see that the price at the nike store is better
The difference leading to the savings is;
18.5-16 = $2.50
So you save $2.50 buying from the nike store
Write a story about elevation that this expression could represent: 56 + (-56)
Answers
show that x+1 is a factor of f(x)=2x^4-x^3-35x^2+16x+48 . Then factor f(x) completely
please if possible show steps
Answers
Answer:
callate
Step-by-step explanation:
:)))))))))))what represents a line that is parallel to x-4y=16 ???
Answers
The equation of a line parallel to a line ax + by + c = 0 is ax + by + d = 0.
In other words, the equation of two parallel lines differ by a constant.
Therefore, if the equation of the line is: x - 4y - 16 = 0, then the equation of the line parallel to this should be: x - 4y + d = 0.
If we are given a point, say (x₁, y₁) on the line then we can substitute this point on the equation to determine the value of 'd'.
What is the pattern in the infinite sequence below?
–3, –1, 1, 3, 5, ...
Multiply the term number by 2, then subtract 5.
Multiply the term number by 3, then subtract 6.
Multiply the term number by 4, then subtract 7.
Multiply the term number by 5, then subtract 8.
Answers
Answer:
A. Multiply the term number by 2, then subtract 5
Step-by-step explanation:
Edge 2021
f (x)=5x+1 9(x)=-2x+15
Answers
Answer:
x = 0
Step-by-step explanation:
(x)=5x+19(x)=-2x+15
We move all terms to the left:
(x)-(5x+19(x))=0
We add all the numbers together, and all the variables
x-(+24x)=0
We get rid of parentheses
x-24x=0
We add all the numbers together, and all the variables
-23x=0
x=0/-23
x=0
Add
-51 + (-16) -
a : - 67
b : 35
C : 67
D : - 35
Answers
A : -67
Landon hands out 120 flyers in 2 hours. Fernando hands out 29 flysers in 30 minutes. Which equation can be used to determine the number of flyers Fernando handed out in 2 hours?
Answers
Answer:
0.5x = 48
96 flyers
Step-by-step explanation:
Given that:
Fernando hands out 29 flyers in 30 minutes ;
Number of flyers he hands out in 2 hours ;
29 flyers = 0.5 hours
Let number of flyers he hands out in 2 hours = x
Hence,
29 flyers = 0.5 hours
x = 2
0.5x = 48 flyers
x = 48 / 0.5
x = 96 flyers
Sasha works for the Humane Society and had to buy food for the dogs. She buys 1614 pounds of dog food. She feeds each dog about 58 of a pound. How many dogs can she feed?
26
25
10
6
Answers
27 but 27 isn't there so do 26
Answer: A
Step-by-step explanation: because when dividing 58 into 1614 it equals 27.23 but the answer choice isn't there so i would choose 26
how do you find deviation and standard deviation
Answers
Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...
Step 1: Find the mean.
Step 2: For each data point, find the square of its distance to the mean.
Step 3: Sum the values from Step 2.
Step 4: Divide by the number of data points.
Step 5: Take the square root.
Step-by-step explanation:
help pls !ASAP! it a rq question
Answers
If you earn $40 a year on a $500 investment, what is the annual rate of return?
Answers
Answer:
40/500 = 8%
Step-by-step explanation:
40/500 = 8%
So the answer is 8%/year. The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20? If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield. You'd be better off finding something that compounded your investment.
The annual rate to return will be 8%.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Simple interest = $40
Principal amount = $500
Time = 1 year
Now,
Since, We know that;
⇒ Simple interest = P R T/100
Substitute all the values, we get;
⇒ $40 = $500 x R x 1 / 100
⇒ $40 × 100 = $500R
⇒ $400/$500 = R
⇒ R = 8%
Thus, The annual rate to return will be 8%.
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Solve: 15x - 12 + 7 x + 6 = 60
Answers
Answer:
The answer is 3
Step-by-step explanation:
If you combine like terms you get 22x - 6 = 60
Then you set the numbers and x's apart = 22x = 66
Then you divide and get 3
15x-12+7x+6=60
Explanation:
22x-12+6=60
22x-6=60
22x=60+6
22x=66
Divide both sides by 22
And x=3
To multiply 10 with 2/5
you should_________.
Answers
Answer:
convert 2/5 to a decimal, which is 0.4
multiplying a value by 10 means you should move the decimal point one unit to the right
so 10 x 2/5 = 4
Step-by-step explanation:
Answer:
i should multiply 10 by 2/5
10×2/5
=20/5
=4