Please help ! Given m || n, find the value of x. (9x-7)°=(7x3)° … I don’t understand this I’ll love the help. From anyone. Thank youu
Answers
Check the picture below.
Answer:
x = 2
Step-by-step explanation:
When a transversal crosses parallel lines, it creates 8 angles. Pairs of angles that are in the same direction from the points of intersection are called "corresponding angles." Corresponding angles are congruent.
__
In the given diagram, the marked angles are both "southeast" of their respective points of intersection. That means they are corresponding angles, and have the same measure.
(9x -7)° = (7x -3)°
2x = 4 . . . . . . . . . . . divide by °, add 7-7x
x = 2 . . . . . . . . . divide by 2
_____
Check
The measures of the angles are ...
(9(2) -7)° = (18 -7)° = 11°
(7(2) -3)° = (14 -3)° = 11° . . . . same as the first angle, as it should be
Related Questions
4 boys weighed themselves in different pairs and alone. The weights of the pairs were 110kg, 112 kg, 113kg, 118kg, 121 kg, and the weight of one pair was lost. The total weight of the 4 boys was 230kg. What was the lost weight?
Answers
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
Add.
7 2/15 + 5 2/3 + 9 13/15 =????????????????????????????????????????????????????????????
Answers
Answer:
68/3 in decimal also Know as 22.67
explanations:
STEP 1: you first of all convert to a fraction 7 2/5=107/15
STEP 2: so the next one 5 2/3 = 17/3
STEP 3: so the next one 9 13/15= 148/15
so after that we add all the answers from step 1-3
which is : 107/15 + 17/3 + 148/15= 68/3.
hope you understand with this few explanations of mine .
pls follow.
thanks.
What is numerical value of 35 - 4(5 - 9) + 7?
a. -58
b. -42
c. 42
d. 58
Pls helppp
Answers
Answer:
refer to the picture attached for steps
Step-by-step explanation:
hope it helps
d option
Answer:
58
Step-by-step explanation:
35 - 4 (5 - 9) + 7
Opening Brackets
= 35 - [4 x (-4) ] +7
= 35 + 16 + 7
= 58=
Given the equation 100 - 20t = 12r +4P,
solve for P. Find the P values when
(r= -2, -5, and 5) and (t=4, -4, and 8).
Answers
Answer:
P = -3r -5t + 25
r(-2): P = -5t + 31
r(-5): P = −5t + 40
r(5): P = −5t + 10
t(4): P = −3r + 5
t(-4): P = −3r + 45
t(8): P = −3r − 15
There were 20 questions on the last quiz in Mrs. Lorenzo's class. A student answered 17 questions correctly. Write the ratio of correct answers to total questions as a decimal
Answers
Answer:
The answer would be 1.17.
Step-by-step explanation:
Write the ratio in simplest form. 10 seconds to 5 min
Answers
Answer:
10:5
Step-by-step explanation:
The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 10 seconds to 5 minutes.
Now,
Since, The ratio of two numbers has always same units.
So, We change 5 minutes into seconds as;
Since, 1 minutes = 60 seconds
Hence, 5 minutes = 5 x 60 seconds
= 300 seconds
Thus, The ratio becomes,
⇒ 10 seconds to 300 seconds
⇒ 10 : 300
⇒ 10 / 300
⇒ 1 / 30
⇒ 1 : 30
Thus, The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
Learn more about the ratio visit:
https://brainly.com/question/25927869
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what is the height of a rectangular prism with a base of 24 square feet and a volume of 456 cubic feet?
Answers
V=Bh (with B being the area of the base).
h=V/B, or 456/24, or 19.
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answers
Answer: it’s 2 and 6
Step-by-step explanation:
(9 + 31 + 5)[(7 x 5) x 4]
Answers
Answer:
The answer to your question is (7.5.4
2+1+2
answer
gxjdhfffgctvds atxhxhxfcfhx
Answers
Answer:
[tex]5[/tex]
Step-by-step explanation:
answer= 5
2+1+2=5
2=1+1
1
2=1+1
5 one
thx for following me
if f(x)=2x^2-5 and g(x)=5x+7 g(x)=
Answers
Answer in the picture.
A function assigns the values. The value of f(g(x)) is 50x² + 140x + 93.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the value of f(x)=2x²-5 and g(x)=5x+7, therefore, the value of f(g(x)) can be written as,
f(g(x)) = 2(5x+7)²-5
f(g(x)) = 2(25x²+49+70x)-5
f(g(x)) = 50x² + 98 + 140x - 5
f(g(x)) = 50x² + 140x + 93
Hence, the value of f(g(x)) is 50x² + 140x + 93.
Learn more about Function:
https://brainly.com/question/5245372
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Which graph represents the following piecewise defined function? f(x)= x,x<-2\\ -2,-2<= x<1\\ x-3,x>=1
Answers
Answer:
The answer is -2/2x=1
Step-by-step explanation:
Its the second graph on edge
j/3 = 4.5 what does j equal
Answers
_________
[tex] \: [/tex]
[tex] \frac{j}{3} = 4.5[/tex]
[tex]j = 4.5 \times 3[/tex]
[tex]j = \bold{13.5}[/tex]
The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.
Answers
Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.
The probability density function is given by:
[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]
The integral formula for the expected value is:
[tex]E(x) = \int_0^3 xf(x) dx[/tex]
Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:
[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]
[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]
[tex]E(x) = 1.83[/tex]
The expected number of coupons a customer will use is of 1.83.
A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236
Which of the graphs best suits the following equation?
[tex]y = 6^{-x}[/tex]
Graph 1 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, 8.6), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.
Graph 2 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, −8.6), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Graph 3 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right, crosses the y-axis at y = 1, and exits the window at the approximate point (1.2, 8.6).
Graph 4 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right, crosses the y-axis at y = −1, and exits the window at the approximate point (1.2, −8.6).
Answers
Answer:
Graph 1 is the answer
Find The Measurement of the missing angle.
Answers
Answer:
68*
Step-by-step explanation:
90-22=68
100 POINTS HELP ASAP NOW!!!!!!
Find the value of x in each case.
Answers
9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:
2x +(180 -4x) = 6x
180 = 8x . . . . . . . add 2x and simplify
22.5 = x . . . . . . . divide by 8
The value of x is 22.5°.
The points (-4,2) and (4,r) lie on a line with slope -1. Find the missing cooridnate r
Answers
r = -6
Step-by-step explanation:
The slope of a line is defined as
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write
[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]
or
[tex]r - 2 = -8 \Rightarrow r = -6[/tex]
After buying supplies ruby had $32 left over she spent $4 on notebooks $18 on a backpack and $30 on a new calculator how much money did ruby start with write an equattion to show your work
Answers
Answer:
$84
Ruby started with $84 before purchasing the school supplies.
Step-by-step explanation:
$32 + $4 + $18 + $30 = $84
An antique has a price tag of $275. The sales tax rate for the county is 8.2%. How much sales tax will be due?
Answers
Answer:
$22.55
Step-by-step explanation:
To find the tax due divide 8.2% by 100 to convert it into a decimal which equals to .082 . Next multiply 275 by .082 which gives you $22.55.
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answers
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
1.6 ACSF L5 SC Number: Simple and Compound Interest
Sandra plans to retire and can receive a lump sum of $26,376 from her pension provider.
2
She decides to invest of the lump sum for 8 years and use the rest for travelling.
3
Her bank account pays 4.99% compound interest per annum.
How much interest will Sandra receive from this investment after 8 years?
Round your answer to the nearest thousand dollars.
$
Answers
Answer:
$12,000
Step-by-step explanation:
[tex]p(({1 + i})^{n} - 1)[/tex]
[tex]26376( ({1 +.0499 })^{8} - 1) \\ = 12000[/tex]
If n(B) = 16, n(A ∪ B) = 26, and n(A ∩ B) = 5, find n(A).
Answers
Work Shown:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]
Is (2, 2) a solution to this system of inequalities? 2x + 3y ≤ 10 x + 4y < 10
Answers
Answer:
No
Step-by-step explanation:
Plug the coordinates into the given inequality
2(2) + 3(2) ≤ 10(2) + 4(2) < 10
4 + 6 ≤ 20 + 8 < 10
10 ≤ 28 < 10
(2,2) is not a solution to this system of inequalities since 28 cannot be less than 10.
you found a recipe which calls for 1/2 pound of chicken per person, if 4 pounds of chicken costs $8, what is the cost per person for the recipe you are using?
Answers
9514 1404 393
Answer:
$1 per person
Step-by-step explanation:
The per-person cost (x) can be found from the proportion ...
x/(0.5 lb) = $8/(4 lb)
Multiplying by 0.5 gives ...
x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel
The cost per person will be $1.
What is the slope of the line that contains the points (5,-1) and (3,-5)? The solution is
Answers
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 1 ) and (x₂, y₂ ) = (3, - 5 )
m = [tex]\frac{-5-(-1)}{3-5}[/tex] = [tex]\frac{-5+1}{-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.
Answers
Answer:
There are 719,115.8179 KG of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
find 3 ordered pairs (x,y) that satisfy both equations below
[tex]5x-6y=1[/tex]
[tex]15x-18y=3[/tex]
Answers
Answer:
5x-6y=1
15x-18y=3
first equation=30x-36y=6
second equation=45x-54y=9
third equation=60x-72y=12
Tell whether the ordered pair (−5, −4) is a solution of the system
Answers
Step-by-step explanation:
3x - y = -11
(-15) + 4 is 11 hence RHS = LHS
how many litres of water can the cylinder hold if the volume is 1385.4cm
Answers
9514 1404 393
Answer:
1.3854 liters
Step-by-step explanation:
1000 cm³ = 1 liter
1385.4 cm³ = 1.3854 liters
