Answers
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
Learn more about angles;
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Related Questions
i don’t get this lol help
Answers
resolve into factors (4a+b)(4a-b)
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Answer : [tex]16^a - b^2[/tex]
[tex](4a + b) (4a - b )[/tex]
[tex]= (4a + b) (4a - b )[/tex]
[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]
[tex]= 16^a - 4ab + 4ab - b^2[/tex]
[tex]= 16^a - b^2[/tex]
A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answers
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
Mount Mauna Kea is the tallest mountain when measured from its base. It rises from 5854m below sea level to 4349m above sea level. How tall is Mount Mauna Kea? Use numbers and words to explain your thinking. *
Answers
Answer:
10,203 meters tall
Step-by-step explanation:
Sea Level is given a value of 0 and is measured as the starting point. Anything below sea level would be a negative value. Therefore, to calculate the total height of Mount Mauna Kea we would need to add the height below sea level with the height above sea level as both positive values.
5854m + 4349m = 10,203m
Finally, we can see that Mount Mauna Kea is 10,203 meters tall.
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
Answers
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
A triangle has points: A (2,1); B (3, -3); C (-1, 0). If dilated by a scale factor of 1/2, what is point A prime?
Answers
Please help me with this one!
Answers
Explanation: 100%
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answers
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answers
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
Write 0.651 as a fraction?
Answers
[tex]\frac{641}{1000}[/tex] If you read the decimal and the fraction, it both reads 651 thousandths. So, therefore this is the correct answer
Answer:
651/1000
Step-by-step explanation:
The decimal reads 651 thousandths so 651 would be your numerator and 1000 would be your denominator. The fraction is not reduceable.
how many times does 50 go into 102?
Answers
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
m−2 over 4 =5 over 20
Answers
Plug it in and it should work
3-2 =1 over 4 which is the same as 5 over 20 because both as a percentage equal 25% or 1/4 or 0.25 if you put it in a calculator as calculators provide decimal answers
CAN ANYBODY HELP ME WITH THIS JUST WITH 7 TO 12 PLEASE IT IS FOR AN GRADE!!
Answers
Answer: I think there is a mistake for the first one because I did the math and I got 200 added but then there are more answers to this one, I added all the others by 200 and got the next number but then when I got to 6,300 I can't get the 6,700. I get something else, I add 6,000 with 200, and then I get 6,200 instead of getting 6,300. Then I added that 6,200 and 200 and got 6,400. I am confused with the second one, can you please help me understand that one. The third one is also confusing, The one is 12 nuggets eaten per minute. The fifth I am not sure if that is a solvable question, The sixth one I am not sure but I think that it is 0.066667. The seventh one doesn't even make any sense to me.
Explanation: I am sorry this was so long, I was trying to make sense of these questions. Also if this is ALL wrong sorry for even trying.
Evaluate y(5- (6-z) )
if y= 4 z= -6
Answers
Answer: -27
Step-by-step explanation:
4(5-(6-(-6))
4( 5-12) = 4(-7) = -28
what is 1 times 3 divided by 3 + 25 minus 3 times 100 minus 93 + 4
Answers
Answer:
2211
Step-by-step explanation:
1*3 = 3
3/3 = 1
1+25 = 26
26-3 = 23
23*100 = 2300
2300-93 = 2207
2207+4 = 2211
can you find matches, (the more the better)
Answers
Answer:
There is nothing here to help you with
Step-by-step explanation:
Step-by-step explanation:
where is your question???
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75
Answers
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
hope this helps :)
Answer:
the answer is c, 8.50
Step-by-step explanation:
After jeeves lost 7 pounds, he weighed 124 pounds. How
much did he weigh originally?
Answers
Answer:
He now weighs 131 pounds.
Step-by-step explanation:
You can work backwards.
Past weight - 7 = 124
Past weight = 124 + 7
Past weight= 131
I could use some help on this one! Thanks!
Answers
the answer is the last one
Answer:
A.) 458 R2
4 5 8
9 | 4 1 2 4
3 6
5 2
4 5
7 4
7 2
2
458 with a remainder of 2
(-8,-3) and (-2,-11) finding slope
Answers
Answer:
-4/3
Step-by-step explanation:
the slope is -4/3
I’m kind of having troublehelp?
Answers
Answer:
13
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 7 ^2 = c^2
121 + 49 = 170
√170 = 13.04
Answer:
c = 13.0
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
c² = 11² + 7² = 121 + 49 = 170 ( take the square root of both sides )
c = [tex]\sqrt{170}[/tex] ≈ 13.0 ( to the nearest tenth )
PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASE
What value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50
Answers
Answer:
B
Step-by-step explanation:
For a craft project, Jackie spent 45 minutes beading, 10 minutes painting, and 25
minutes sewing.
How much time did she spend working on her project?
Answers
Answer:
1 hour and 20 minutes
Step-by-step explanation:
45+25+10=80 minutes which equal 1 hour and 20 minutes
If a pencil is 13.5 cm long and if 1 cm is 0.39 inches what is the length of a pencil in feet to the nearest hundredth
Answers
Answer:
0.44 feet
Step-by-step explanation:
The value of the length of the given pencil will be 0.43875 feet.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the length of the pencil
Lenght = 13.5 cm
Also,
1cm = 0.39 inches
So,
Lenght = 13.5 × 0.39 = 5.265 inches.
Now,
Since 12 inches = 1 feet ⇒ 1 inch = 1/12 feet
So,
Length = 5.265/12 = 0.43875 feet.
Hence "The value of the length of the given pencil will be 0.43875 feet.".
To learn more about unit conversion,
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What is the answer ♀️
Answers
Answer:
c. 15in
Step-by-step explanation:
Answer:
C. 15 inches
Step-by-step explanation:
The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15. Hope this helps!
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answers
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
Solve the following system of equations.
- 7x-9y= 10
3x – 2y = 25
Answers
Answer: first one x= -9/7y+-10/7, second x=2/3y+25/3
1. Step-by-step explanation:
add 9y to both sides -7x-9y+9y=10+9y
divide both sides by -7. -7x/-7=9y+10/-7
2. Add 2y to both sides. 3x-2y+2y=25+2y
divide both sides by 3. 3x/3=2y=25/3
A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%
Answers
Answer:
25%
Step-by-step explanation:
the formula is:
1-(new price/old price), which =
1-(45/60)=
1-3/4=
4/4-3/4=
1/4=
.25 or 25%
Hope this helps! :)
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes ?
Answers
Answer: The car will travel 30 2/3 miles in 45 minutes.
Answer:
Please Mark as Brainliest!!
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.
The car will travel 40 miles in 1 hour