Answers
Answer:
m∠7 = 63 degrees
m∠8 = 117 degrees
m∠9 = 63 degrees
Step-by-step explanation:
When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles
The vertically opposite angles are equal in measuresThe linear angles have a sum of 180°In the given figure
∵ There are two lines intersected at a point
∴ The angle of measure 117° and ∠8 are vertically opposite angles
∴ ∠7 and ∠9 are vertically opposite angles
∴ The angle of measure 117° and ∠7 are linear angles
∵ The vertically opposite angles are equal in measures
∴ The angle of measure 117° and ∠8 are equal in measures
∴ m∠8 = 117°
∵ The sum of the measures of the linear angles is 180°
∴ m∠7 + 117° = 180°
→ Subtract 118 from both sides
∵ m∠7 + 117 - 117 = 180 - 117
∴ m∠7 = 63°
∵ m∠7 = m∠9 ⇒ proved up
∴ m∠9 = 63°
Related Questions
One day Akash walked 2/3 km from home to school .On his return he took another route which was 3/5 km long .How many km did Akash walk in all?
please answer in steps.
Answers
Answer:
Akash walked [tex]1\frac{4}{15}[/tex] kilometers in all.
Step-by-step explanation:
Given that:
Distance covered while walking to school = 2/3 km
Distance covered while walking back = 3/5 km
We will add the distance.
Total distance walked = [tex]\frac{2}{3}+\frac{3}{5}[/tex]
Total distance walked = [tex]\frac{10+9}{15}[/tex]
Total distance walked = [tex]\frac{19}{15}=1\frac{4}{15}\ km[/tex]
Hence,
Akash walked [tex]1\frac{4}{15}[/tex] kilometers in all.
Paula says that 2/3 is equivalent to 4/9 because 4 is a multiple of 2 and 9 is a multiple of 3. explain her error.
Answers
Answer:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
Step-by-step explanation:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.
Thus, the correction is as follows:
Given the fraction
[tex]\frac{2}{3}[/tex]
Multiply the nominator and denominator of the fraction by 2
[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]
Thus, the 4/6 is the correct equivalent expression of 2/3.
Find the value of x.
Answers
Answer:
x=40 degrees
Step-by-step explanation:
a triangle is a total of 180 degrees. 180-120-20=40
Answer:
the value of X would be 40
the height of the Empire State Building in New York City is 1250 ft and 364 fewer feet than the height of the world financial center building in shanghai, china. what is the height (h) of the World Financial Center building?
Answers
Answer:
1614 should be the correct answer
Hope this helps!
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
Answers
Answer:
When y=32, x=16.5
Step-by-step explanation:
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
We are given:
x varies inversely with y
We can write it as: [tex]x\:\alpha \:\frac{1}{y}[/tex]
[tex]x=\frac{k}{y}[/tex]
We have x = 132, when y=4
We can find value of k by using these values
[tex]x=\frac{k}{y}\\132=\frac{k}{4}\\k=132*4\\k=528[/tex]
We need to find x when y=32
[tex]x=\frac{k}{y}\\x=\frac{528}{32}\\x=16.5[/tex]
So, when y=32, x=16.5
Paul gets $5 every week for doing his chores he is saving money to get a skateboard that cost $85 he has already saved $25 which equation describes the number of weeks that is with Paul to save enough money to buy the skateboard
Answers
Add 25 because he already saved that amount of money
5x because 5 is the amount of money he makes a week and x= number of weeks.
And =85 because that’s the total cost
To find the amount of weeks, just solve the equation
5x+25=85
5x=60
X=12 weeks
Hope it helps
Solve the system and write your answer as a coordinate point. I
(1 Point)
-6x – 3y = 24
4x – 2y = 8
Answers
Answer:
The solution of the system is:
(x, y) = (-1, -6)
Step-by-step explanation:
Given the system of equations
-6x – 3y = 24
4x – 2y = 8
solving the system of equations
[tex]\begin{bmatrix}-6x-3y=24\\ 4x-2y=8\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-6x-3y=24\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12x-6y=48[/tex]
[tex]\mathrm{Multiply\:}4x-2y=8\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:12x-6y=24[/tex]
so
[tex]\begin{bmatrix}-12x-6y=48\\ 12x-6y=24\end{bmatrix}[/tex]
adding the equations
[tex]12x-6y=24[/tex]
[tex]+[/tex]
[tex]\underline{-12x-6y=48}[/tex]
[tex]-12y=72[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}-12x-6y=48\\ -12y=72\end{bmatrix}[/tex]
solve -5y=72 for y
[tex]-12y=72[/tex]
Divide both sides by -12
[tex]\frac{-12y}{-12}=\frac{72}{-12}[/tex]
Simplify
[tex]y=-6[/tex]
[tex]\mathrm{For\:}-12x-6y=48\mathrm{\:plug\:in\:}y=-6[/tex]
solving
[tex]-12x-6\left(-6\right)=48[/tex]
[tex]-12x+6\cdot \:6=48[/tex]
[tex]-12x+36=48[/tex]
subtract 36 from both sides
[tex]-12x+36-36=48-36[/tex]
Simplify
[tex]-12x=12[/tex]
Divide both sides by -12
[tex]\frac{-12x}{-12}=\frac{12}{-12}[/tex]
[tex]x=-1[/tex]
Therefore, the solution of the system is:
(x, y) = (-1, -6)
Find the length of GH.
A. About 4.5 units
B. 20 units
C. 6 units
D. About 2 4 units
Answers
Answer:
C. 6 units
Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.
Slope:
0
Answer:
Its A: 4.5 units
Step-by-step explanation:
The figures shown are similar. Find the lengths of x,y and z
Answers
y =18
z =12.75
Answer:
explanation po sana ang kailangan
What is the slope of the line? Hurry please
Answers
Answer:
I believe it's 1
Answer:
1
Step-by-step explanation:
Isabel had 21 coins in her collection. Frank had 3 times as many coins as Isabel had. Which equation can be used to determine the number of coins Frank had? *
21 ÷ _?_ = 3
3 x 21 = _?_
21 + 3 = _?_
3 + _?_ = 21
Answers
2. What is the value of x? Show ALL of your work. Round your answer to the nearest tenth.
А
x cm
12 cm
B
6 cm
Answers
9514 1404 393
Answer:
10.4
Step-by-step explanation:
The Pythagorean theorem applies to the sides of this right triangle.
x² + 6² = 12²
x² +36 = 144 . . . . find the squares
x² = 108 . . . . . . . . subtract 36
x = √108 . . . . . . . take the square root
x ≈ 10.4
Write the equation of the line in slope-intercept that has passes through the points (-8,-11) and (10,-2).
Answers
Answer:
y = 0.5x-7
Step-by-step explanation:
First we need to find the slope so we use the formula y2 - y1 / x2 - x1 = m
The variable m will represent the slope or rate of change
-2 - (-11) / 10 - (-8) = m
Or
-2 + 11 / 10+8 = m
9/18 = m
0.5 = m
y = 0.5x+b
To find b replace the y and x variables
I will use 10 and -2
-2 = 0.5(10)+b
You should come out with -7 = b
If you rotate triangle ABC 90 degrees counter- clockwise, where would the vertices of A'B'C' be located?
Answers
Answer:
a at c place 45 degree b at a place 45 dgree cat b place 90 degree
(4x + 3)(x + 1) = 1
What is the solution set?
Answers
Answer:
Step-by-step explanation:
4x^2 + 7x + 3 = 1
4x^2 + 7x + 4 = 0
-7 ± [tex]\sqrt{49 -64}[/tex]
------------------
8
(Sorry, first time making complex equations)
-7 ± [tex]\sqrt{-15}[/tex]
-------------
8
1: the tip is 20% on a $42 meal
2: The price paid for an $120 bookshelf after an 20% discount applied
3: the 6% state income tax on a $40,000 salary
4: The total cost of an $82 meal with as 20% tip
Answers
Step-by-step explanation:
1. The tip is $8.40
2. The price after the discount is 96.
3. The tax taken away is $2400
4. $98.4
i need help with these questions.
Answers
Answer:
Q1) C=2pi r
C= 2 x 7.5 x 3.142
C= 47.13
Q2) A= pi r^2
A= 3.142 x 7.5^2
=3.142 x 56.25
A=176.74
Q3) A= pi r^2
A= pi 6^2
A=36pi mm^2
Q4) A= pi r^2
A= 4^2 x 3.142
A= 50.3
Q5) A=pi r^2
Radius= C/2---------------------> R=14/2--------------> R=7
A=pi x 7^2
A=49 pi cm^2
Miguel bought 3CDs that were each the same price. Including sales tax, he paid a total of 34.00 . Of that total,3.60 was tax. What was the price of each CD before tax?
Answers
Answer:
$10.13
Step-by-step explanation:
Take the total and subtract the tax:
34-3.6 = 30.40
Take that answer and divide by 3
eight hundred 35 thousandths as a decimal
Answers
Answer:
0.835
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
800.035
Step-by-step explanation:
what graphs does this system for equations go on ?
y=1/2x
y=1/2x-6
Answers
Answer:
y=12x;y=12x−6
Step: Solvey=12xfor y:
y=12x
Step: Substitute12xforyiny=12x−6:
y=12x−6
12x=12x−6
12x+−12x=12x−6+−12x(Add (-1)/2x to both sides)
0=−6
During the hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many
shots did he take?
Answers
Someone help me ASAP thank you
Answers
Answer:
1/2
Step-by-step explanation:
sin
(
20
)
cos
(
10
)
+
cos
(
20
)
sin
(
10
)
Decimal Form:
0.5
Answer:
c or b please dont get mad if i get it wrong
Step-by-step explanation:
your welcome
if triangle abc is similar to triangle edc find the value of x
Answers
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DC}[/tex] = [tex]\frac{AC}{EC}[/tex] , substitute values
[tex]\frac{3x-5}{32}[/tex] = [tex]\frac{5x-5}{56}[/tex] ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Next week the store is going to reduce the price from $42 to $31.50. Calculate what percent the sale price is of retail price.
Answers
Answer:
13.23 is 31.50 percent of 42 and the price they dropped down was $10.5
Step-by-step explanation:
hope this helps pls mark me as brainliest! :)
Answer:
10.5
Step-by-step explanation:
CUZ I NO
If two angles are complementary and one angle is 48° what is the other angle
Answers
Answer:
Step-by-step explanation:
When two angles add to 90°
The degree of the polynomial function below is ____
f(x)=-3x^5+4x-2
Answers
Answer:
the degree of the polynomial is 5
Answer:the
Step-by-step explanation:
What is the quotient of 40,122 divided 27
Answers
Answer:
1486
Step-by-step explanation:
What is the quotient, if 40,122 is divided by 27?
40,122
-------------- = 1486
27
Answer: The answer is 1,486
Step-by-step explanation:
40,122 divided by 27=1,486
Rick bought 3 shirts for $18.75 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The
sales tax rate is 6.75%. How much did he pay?
Answers
Answer:
3 shirt=3×$18.75
=56.25
2 pair shocks =3.99×2
=8
1 pair slacks=45.00
total=109.25
tax=6.75% then;
109.25+6.25%×109.25
109.25+6.25/100×109.25
109.25+0.0625×109.25
109.25+6.28
116.07
What is the length of side PQ in this figure?
A. 4
B. 14
C. square root of 52
D. square root of 61
Answers
Answer:
Option c. Square root of 52
Y’all give me dis answer to
Answers
Answer:
The solution is: (1,-3)
Step-by-step explanation:
Given equations are:
x-y=4 Eqn 1
4x+y = 1 Eqn 2
Substitution involves finding value of a variable from one equation and putting in other equation
From equation 1
x = y + 4
Putting in equation 2
[tex]4(y+4) + y = 1\\4y+16+y = 1\\5y = 1-16\\5y = -15\\\frac{5y}{5} = \frac{-15}{5}\\y = -3[/tex]
Putting y = -3 in equation 1
[tex]x- (-3) = 4\\x + 3 = 4\\x = 4-3\\x = 1[/tex]
Hence,
The solution is: (1,-3)
