Answers
Step-by-step explanation:
Hey there!!!
When you closely see in figure, we find that,
90° and (2y + 5)° are supplementary,
So, 90° + 2y +5°=180° { supplementary angle is always 180°}.
or, 2y = 180°-95°
[tex]y = \frac{85}{2} [/tex]
Therefore the measure of angle y is 42.5°.
Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).
8x - 28° = 180°
8x = 180°+28°
[tex]x = \frac{280}{8} [/tex]
Therefore the measure of angle x is 26°.
Hope it helps...
Related Questions
Simplify the following: (-83)2
Answers
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answers
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.
Answers
The teacher spend some amount on buying costumes and microphones for 6 cast members.
GiveN:
Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
Equation:
[tex]6 \times 38 + 6 \times c = 354[/tex]
Taking 6 as common,
[tex]6(38 + c) = 354[/tex]
Dividing 6 from both sides,
[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]
[tex]38 + c = 59[/tex]
Solving further,
[tex]38 + c - 38 = 59 - 38[/tex]
[tex]c = 21[/tex]
So, the cost of each microphone = $21
The teacher spent this much on each microphone.
#CarryOnLearning
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The teacher spent $21 on each microphone.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total amount of teachers have = $354
Cost of costume for all 6 members ;
6 × 38 = $228
Cost of microphone for all 6 members ;
6 × c = 6c
Now,
Cost of microphone + Cost of costume = total amount
6c + 228 = 354
6c = 126
c = 21
Hence "The teacher spent $21 on each microphone".
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Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answers
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
Solve for a.
ab + c = d.
Answers
Answer:
a = [tex]\frac{d - c}{b}[/tex]
Step-by-step explanation:
ab + c = d
- c - c
ab = d - c
divide both sides by b
a = [tex]\frac{d - c}{b}[/tex]
I hope this helps!!
Answer:
a=d-c/b
Step-by-step explanation:
ab+c=d
ab=d-c
a=d-c/b
JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.
Answers
Answer:
KL= 63
Step-by-step explanation:
JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)
*J_______________________K___________________________L
JL=JK+KL
114=7x+9+9x+9
114-18=16 x
16x=98
x=98/16=6
KL= 9x+9
KL=9(6)+9
KL= 63
Combining Like Terms
Equation: 5x + 7y -2x + 3y
So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer
Answers
3(5x-2)=15x-6 is their a solution or no
Answers
Answer: 0 = 0
Step-by-step explanation: there is no solution
What is 6x - 2 if x = 5
Answers
6 (5) -2
30-2
28
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
Answers
I’m assuming these two angles are complimentary (they add up to 90)
If one angle is 68, to find the other just subtract 68 from 90
90-68 = 22
The unknown angle is 22 degrees
7.2 times 1/9 I need help!
Answers
Answer:
8/10
Step-by-step explanation:
Step 1:
7 2/10 × 1/9
Step 2:
72/10 × 1/9
Answer:
8/10
Hope This Helps :)
7.2 times 1/9 is 0.8
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
7.2 times 1/9
=7.2* 1/9
=72/10* 1/9
=8/10
=0.8
Hence, 7.2 times 1/9 is 0.8
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Simplify the expression (5)2.
O 25
O-10
0-25
O 10
Answers
I hope I could help!
2 (4z-1)=3(z+2) simplify
Answers
Answer:
z=8/5
Step-by-step explanation:
2(4z-1)=3(z+2)
distribute the 2 and 3
8z-2=3z+6
move 2 to the other side by adding 2
8z=3z+8
move 3 to the other side by subtracting 3
5z=8
divide both sides by 5
z= 8/5
The equivalent value of the expression is z = 8/5 = 1.6
Given data ,
Let the equation be represented as A
Now , the value of A is
2 ( 4z - 1 ) = 3 ( z + 2 )
On simplifying the equation , we get
2 ( 4z - 1 ) = 3 ( z + 2 )
So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )
Opening the parenthesis on both sides , we get
2 ( 4z ) - 2 = 3z + 6
8z - 2 = 3z + 6
Subtracting 3z on both sides , we get
5z - 2 = 6
Adding 2 on both sides , we get
5z = 8
Divide by 5 on both sides , we get
z = 8/5
z = 1.6
Therefore , the value of z = 8/5 = 1.6
Hence , the expression is z = 8/5 = 1.6
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A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answers
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?
Answers
Answer:
domain all real numbers
range all real numbers
the cost of his monthly cable is $40.50 when you plug in 4
Please help me
I need to submit it now!!
Answers
Answer:
Alicia is right, 11 is the answer
Step-by-step explanation:
ItS EaSy
Answer:
it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅
is this the right andwer plz help i will mark you as brilliant
Answers
Answer:
No the answer is 35! :)
Step-by-step explanation:
Answer:
The Answer is Thirty five
Step-by-step explanation:
So you would multiply five by seven and get Thirty Five
-1 +(-3) is units from -1 in the direction
Answers
Answer:
-4
Step-by-step explanation:
Please answer this question! it's due in a few hours if you don't mind!
Answers
Answer: 45 Seconds
Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.
Hope this helped!
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Answers
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
which grows faster linear or exponential
Answers
exponential graphs grow faster
Four times a number
decreased by ten is 34.
Write an equation & solve.
Answers
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11
please tell me y what 6(2y−9)=-42
Answers
Answer:
y =1
Step-by-step explanation:
6(2y−9)=-42
Divide each side by 6
6/6(2y−9)=-42/6
2y -9 = -7
Add 9 to each side
2y -9+9 = -7+9
2y =2
Divide by 2
2y/2 = 2/2
y =1
The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?
Answers
Answer:
She can make 20 baskets in 5 hours
x - 4 = 9
Help please
Answers
Answer:
13
Step-by-step explanation:
x-4=9
+4 +4
x=13
Answer:
13
Step-by-step explanation:
Step 1:
x - 4 = 9
Step 2:
x = 9 + 4
Answer:
x = 13
Hope This Helps :)
PLEASE HELP! URGENT!
Answers
5 and 3/4 divided by 1 and 1/2
Answers
Answer:Exact Form:
23/6
Decimal Form:
3.83
Mixed Number Form:
3 5/6
7/20 write the decimal from of each rational number and determine
Answers
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answers
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours. Which car has faster rate?
Answers
Answer:
The Ford Mustang can travel at a faster rate.
Step-by-step explanation:
160/2 = 80/1 miles/hour -Ford Mustang
210/3 = 70/1 miles/hour - Toyota Corolla