Answers
Answer:
x=21
Step-by-step explanation:
Hello There!
In order to find the value of x we need to find the value of y
The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent
so y+90=5y+10
step 1 subtract y from each side
5y-y=4y
now we have
90=4y+10
step 2 subtract each side by 10
90-10=80
now we have
80=4y
step 3 divide each side by 4
80/4=20
so y =20
now we plug in y to (5y+10)
5x20=100
100+10=110
So now we can find x
The angle labeled 3x+7 is supplementary with the angle that is equal to 110
meaning that the sum of the two angles equal 180
so 180 = 3x+110+7
step 1 combine like terms
110+117
now we have
180=3x+117
step 2 subtract each side by 117
180-117=63
now we have 3x=63
step 3 divide each side by 3
63/3=21
so we can conclude that x = 21
Answer:
x = 21°
Step-by-step explanation:
y = 180° - 90° - (3x+7)°
y = 83° - 3x
(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:
(5y + 10) + (3x + 7) = 180°
reduce:
5y + 3x = 163°
substitute for y:
5(83° - 3x) + 3x = 163°
415° - 15x + 3x = 163°
reduce:
-12x = -252
divide both sides by -12:
x = 21°
y = 83° - 3(21°) = 20°
check:
(5(20) + 10) + (3(21) + 7) = 180°
110° + 70° = 180°
Related Questions
what the answer to this math problem
Answers
What is -6x+4(-2x+8y)-2y+4
Answers
Answer:
-14x + 30y + 4
Step-by-step explanation:
-6x + 4(-2x + 8y) - 2y + 4
take out the parentheses
4(-2x + 8y) = -8x + 32y
-6x - 8x + 32y - 2y + 4
solve for the x's then y's
-6x - 8x = -14x
32y - 2y = 30y
you are done
-14x + 30y + 4
besties i need help again btw it's not -48 hdhd
Answers
Step-by-step explanation:
-6 / 24/3
= -6 x 3/24
= -18/24
= -6/8
= -3/4
Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?
Answers
Answer:
Nope. Does not satisfy pythagoras theorem
Step-by-step explanation:
72 squared does nit equal 45 squared plus 56 squared
The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of adults in the United States who now use the internet? Assume we want to be 99% confident that the sample percentage is within 2 percentage points of the true population percentage.
a) Assume that nothing is known about the percentage of adults using the internet.
b) Assume it was estimated that 72% of adults in the United States use the internet.
Answers
what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?
Answers
Answer:
The diameter is 6
Step-by-step explanation:
A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?
Answers
Answer:1 meter and 58 centimeters
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.
Answers
Answer:43.1
Step-by-step explanation:
Answer:
x=18.5
Step-by-step explanation:
\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=
LJ
KL
=
\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}
OM
NO
\frac{Blue}{Red}=\frac{Blue}{Red}
Red
Blue
=
Red
Blue
\frac{58}{43}=
43
58
=
\,\,\frac{25}{x}
x
25
Substitute
58\cdot x=
58⋅x=
\,\,25\cdot 43
25⋅43
Cross Multiply
58x=
58x=
\,\,1075
1075
Multiply
x=
x=
\,\,18.534482...
18.534482...
Divide
x\approx
x≈
\,\,18.5
18.5
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
Answers
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
What is the distance between the points (-4,5) and (8,9)
Answers
1,5,9,13. what's the 8th 13th 17th and 23rd term
Answers
Answer:
8th 29
13th 53
17th 69
23rd 91
Which of these linear equations best describes the given model? Choose 1 answer: Choose 1 answer: (Choice A) A \hat y=10x+20 y ^ =10x+20y, with, hat, on top, equals, 10, x, plus, 20 (Choice B, Checked) B \hat y=20x+20 y ^ =20x+20y, with, hat, on top, equals, 20, x, plus, 20 (Choice C) C \hat y=-20x+20 y ^ =−20x+20y, with, hat, on top, equals, minus, 20, x, plus, 20 Based on this equation, estimate the score for a student that spent 3.83.83, point, 8 hours studying.
Answers
Question:
Which of these linear equations best describes the given model? Choose 1 answer:
Choose 1 answer:
A [tex]\hat y=10x+20[/tex]
B [tex]\hat y=20x+20[/tex]
C [tex]\hat y=-20x+20[/tex]
Based on this equation, estimate the score for a student that spent 3.8 hours studying.
Answer:
[tex]\hat y = 20x +20[/tex]
Score of 96 for studying 3.8 hours
Step-by-step explanation:
Given
See attachment for graph
From the straight line of trend, we have:
[tex](x_1,y_1) = (0,20)[/tex]
[tex](x_2,y_2) = (2,60)[/tex]
The slope (m) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{60 - 20}{2 - 0}[/tex]
[tex]m = \frac{40}{2}[/tex]
[tex]m = 20[/tex]
The equation is calculated using:
[tex]\hat y = m(x - x_1) + y_1[/tex]
This gives:
[tex]\hat y = 20(x - 0) +20[/tex]
[tex]\hat y = 20(x ) +20[/tex]
[tex]\hat y = 20x +20[/tex]
Solving (b): When study hours is 3.8
This means that [tex]x= 3.8[/tex]
So:
[tex]\hat y = 20x +20[/tex]
[tex]\hat y = 20 * 3.8 + 20[/tex]
[tex]\hat y = 96[/tex]
What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared
Answers
Answer:
51 in.
Step-by-step explanation:
:]
Answer:
124 inches square
Step-by-step explanation:
First area of that rectangle 20×5 = l×b = 100
Second area of that triangle 6×8×1/2 = 24
Third add both rectangle+triangle=100+24=124
A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.
Answers
Answer:
[tex]P(CD) = \frac{1}{10}[/tex]
Step-by-step explanation:
Given
[tex]AK = 10[/tex]
See attachment for line AK
Required
Probability of choosing CD
From the attachment:
[tex]CD=D-C[/tex]
[tex]CD=3 - 2[/tex]
[tex]CD = 1[/tex]
So:
[tex]P(CD) = \frac{CD}{AK}[/tex]
[tex]P(CD) = \frac{1}{10}[/tex]
5) Choose the graph which represents the solution to the inequality:
5<-5+2x
Answers
Where is the Graph.
Step-by-step explanation:
LOL
A gallon of paint covers 20 ft of surface area. How many revolutions can an 8 in, wide paint roller with a diameter of 3 in make before using up a 5.
gal can of paint?
A about 127
B about 382
C about 600
D about 191
Answers
Answer:
D. about 191 ayan ang answer d.
Find the equation of the line.
Answers
Answer:
Step-by-step explanation:
A line with a slope of 1 passes through the point (8,6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-6=1(x-8)
y-6=1x-8
y=1x-8+6
y=1x-2
Given the 2 similar triangles, what is the length of LK?
Answers
Answer:
7.5
Step-by-step explanation:
the term similar triangles means they have the same angles and the same scale factor so if we look at rs and jl you see they are 12 and 6. thats is a scale factor of .5 so you take 15 and multiply it by .5 or you can divide it by 2.
Which unit rate is equivalent to 13 miles per gallon? Pls help!!!
Answers
Answer:
twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.
Answers
Answer:
[tex]Area = 49\frac{25}{36}[/tex]
Step-by-step explanation:
Given
Tile
[tex]Length = 4\frac{5}{6}[/tex]
[tex]Width = 2\frac{1}{3}[/tex]
See attachment for dimension of the floor
Required
Determine the area covered by the carpet
From the attachment, the dimension of the floor is:
[tex]Length = 12\frac{1}{4}[/tex]
[tex]Width = 5[/tex]
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = 12\frac{1}{4} * 5[/tex]
[tex]Area = 61\frac{1}{4}[/tex]
The area of the tiles is:
[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]
[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]
[tex]Area = \frac{203}{18}[/tex]
[tex]Area = 11\frac{5}{18}[/tex]
So, the carpet area is:
[tex]Area = Floor\ Area - Tile\ Area[/tex]
[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]
To improper number
[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]
Take LCM
[tex]Area = \frac{2205 - 416}{36}[/tex]
[tex]Area = \frac{1789}{36}[/tex]
[tex]Area = 49\frac{25}{36}[/tex]
I need help on this please!
Answers
Answer:
H, G, F, E
Step-by-step explanation:
If it isn't it's G, H, F, E
Hope this helps
Which postulate, if any can be used to prove the triangles congruent
Answers
Answer:
sss
Step-by-step explanation:
A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%
Answers
Answer: 20%, 17%, 29%, 1.5%
Step-by-step explanation:
Given
The likelihood of rain is given by the inequality
[tex]s<30[/tex] i.e. solution to this inequality is less than 30%
So, among the given values, the following are the solution
20%, 17%, 29%, 1.5%
These values are less than 30%; therefore, they are the solution
Answer:
20%, 17%, 29 1/2%, and 1.5%.
Step-by-step explanation:
good luck on your other work
work out 11. 28- 2.843
Answers
Answer:
25.157
Step-by-step explanation:
28-2.843=25.157
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
Answers
The value of the quotient of 50 and 5 subtracted from 20 that can be given as 10.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Firstly, we have the quotient of 50 and 5. This can be written as
[tex]\dfrac{50}{5}[/tex]
And we know that this can be written as 10.
Now we subtract it from 20. Then we have the number 20 and we subtract 10 from it. Then it can be written as
20 - 10
On subtracting, we have
20 - 10 = 10.
More about the subtraction link is given below.
https://brainly.com/question/4319655
Pls help it’s due soon and I’m failing :(
Answers
Answer:
Slope is 2/3
Y-intercept is (0, 0)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = 2/3x
Answer:
Slope is 2/3
y intercept is 0
Step-by-step explanation:
1
-0.4 3 0 8 I have to show all my work this question
Answers
Answer:
0.5462
Step-by-step explanation:
(3+7i)+(-5+2i)-(-7+6i)
Answers
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answers
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )