Answers
Answer:
[tex] x = 18 [/tex]
[tex] y = 7.5 [/tex]
[tex] z = 7 [/tex]
Step-by-step explanation:
✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 8x - 7 + 3x - 11 = 180 [/tex]
Add like terms
[tex] 11x - 18 = 180 [/tex]
Add 18 to both sides
[tex] 11x = 180 + 18 [/tex]
[tex] 11x = 198 [/tex]
Divide both sides by 11
✅[tex] x = 18 [/tex]
✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)
Solve for y
[tex] 2y + 23 = 4y + 8 [/tex]
Collect like terms
[tex] 23 - 8 = 4y - 2y [/tex]
[tex] 15 = 2y [/tex]
Divide both sides by 2
✅y = 7.5
✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)
Plug in the value of y
[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]
[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]
[tex] 38 + 3z^2 - 5 = 180 [/tex]
Add like terms
[tex] 3z^2 + 33 = 180 [/tex]
Subtract 33 from each side
[tex] 3z^2 = 180 - 33 [/tex]
[tex] 3z^2 = 147 [/tex]
Divide both sides by 3
[tex] z^2 = \frac{147}{3} [/tex]
[tex] z^2 = 49 [/tex]
Square both sides
[tex] \sqrt{z^2} = \sqrt{49} [/tex]
[tex] z = 7 [/tex]
Related Questions
PLEASE HELP
In Exercises 1 and 2, identify the slope of the line. Then identify a point the line
passes through.
1. y - 2 - 4(x - 5)
2. y - 7 - -3(x + 6)
Answers
Answer:
1. Slope = 1/4
Point = ( 1, 1 )
2. Slope = -3
Point = ( 3, -20 )
Step-by-step explanation:
ABCD is a rhombus. Solve for x, if m AFB
(16x + 6)
B
F
D
C
Answers
I need help quick please
Answers
PLEASEEEEEE HELPPPPP ASAPPPP
Answers
The difference 3 1/2 minus 1 1/2 must be
between and
Answers
Answer:
2
Step-by-step explanation:
3 1/2 - 1 1/2 = 2
PLS GIVE BRAINLIEST
What is the probability of rolling at least one six on a pair of fair
dice?
Answers
It is a 67% percent chance.
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain your reasoning.
5 meters and 22 meters.
19 inches and 60 inches.
33 centimeters and 80 centimeters.
Answers
Answer:
19 inches and 60 inches
Step-by-step explanation:
How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0
Answers
Answer:
The equation has no real solutions. It has 2 imaginary, or complex solutions.
Step-by-step explanation:
The offense of a high school football team gained 8 yards on first down and then lost 5 yards on second down. What expression represents the total amount of yards gained by the offense?
Answers
The answer would be 8 + (-5).
just say bruh plz it would be funny enjoy the points
Answers
Answer:
bruh bruh bruh burh ty sm
Bru i finna dip chip & let it rip
sorry br*h is censored for some reason
What is the y intercept of y= -3x-2
Answers
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle
Answers
Answer: 30, 60, 90
Step-by-step explanation: 30 * (1:2:3)
30+60+90 =180
Sum of all angles of a triangle is 180
Estimate by rounding both numbers to tens and then divide.
61 ÷ 29 is approximately
Answers
Answer:
2
Step-by-step explanation:
Round: 61 → 60Round: 29 → 30Divide: 60 ÷ 30 = 2I hope this helps!
steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
hometown:8,6
san antonio:-6,-7
a. if the girls take turns driving and each girl drives the same distance,at what point should they stop from emily to begin her turn as the third driver?
b.at what point does emily's turn to drive end?
Answers
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
[tex]H(x,y) = (8,6)[/tex]
San Antonio
[tex]T(x,y) = (-6,-7)[/tex]
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)
[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]
[tex]S(x,y) = (4.5,2.75)[/tex]
Andra
[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)
[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]
[tex]A(x,y) =(1, -0.5)[/tex]
Emily
[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)
[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]
[tex]E(x,y) = (-2.5, -3.75)[/tex]
a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?
Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].
Emily should begin her turn as the third driver at point (1, -0.5).
b. At what point does Emily's turn to drive end?
Emily's turn to drive end at point (-2.5, -3.75).
Convert 5 kilometers to meters
Answers
Answer:
5,000 meters
Step-by-step explanation:
Multiply by 1000, so 5 x 1000 is 5000.
If bill gates gave everyone in the world his money EQUALLY how much would each person have?
Not serious question. You dont have to answer it if you dont want to i just wanted to know.
Answers
Answer:
It's five hundred thousand each.
Step-by-step explanation:
This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car.Plz give Brainliest!!!
Find the slope and y-intercept for the table.
slope:
y-intercept:
Answers
Answer:
slope: 3
y-intercept: 3?
Step-by-step explanation:
Y-intercept is 2
Mrs. Bell can grade 12 papers in 20 minutes. At this
rate, how many papers can she grade in one hour?
Answers
Answer:
36
Step-by-step explanation:
Will give brainliest if correct.
Answers
Your answer should come to:
y = -2/3x + 3
HELP
The length of a rectangle is
[tex]18x ^{2} + 6x - 4[/tex]
and the width of the rectangle is
[tex]3x {}^{2} - 9x + 10[/tex]
what expression would represent the perimeter of the rectangle?
Answers
Answer:
21x^2+3x+12
Step-by-step explanation:
help please!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is 9.5
Step-by-step explanation:
Answer:
I think it's C. 9.5
Hope this Helps!
sandra colored 1/3 of her picture black, as shown. what percent of her picture did she color white
Answers
The painting as a whole = 1. 1 - 1/3 (the amount that is black) = 2/3. Thus, 2/3 is white.
The length of x 200 feet
Answers
Answer:
If the length of x is less than 200, then add <.
If the length of x is more than 200, then add >.
If the length of x is 200, then add =.
Step-by-step explanation:
Il signor Rossi percepisce uno stipendio mensile di2000 euro. L’azienda dove lavora, in seguito a un periodi di utili superiori al previsto, aumenta gli stipendi del 6%.Successivamente, a causa di un periodo di crisi, gli stipendi vengono diminuiti del 6%. Dopo l’aumento e la diminuzione, a quanto ammonterà lo stipendio del signor Rossi? E qual e in percentuale la variazione di stipendio rispetto allo stipendio iniziale?
RISPOSTA: 1992,8 euro; -0,36%
Answers
Answer:
Mr. Rossi receives a monthly salary of 2000 euros. The company where he works, following a period of profits higher than expected, increases salaries by 6%. Subsequently, due to a period of crisis, salaries are reduced by 6%. After the increase and decrease, how much will Mr. Rossi's salary be? And what is the percentage change in salary compared to the initial salary?
Step-by-step explanation:
I translated it from Italian to English for you.
Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.
Answers
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip
13x5=64 blank ÷ blank= 13
Answers
Answer:
65 divided by 5 equals 13.
Step-by-step explanation:
Answer:
65 divided by 5= 13
Step-by-step explanation:
The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage
Answers
Marks
= 28/40
= 28/40 × 2.5/2.5
= 70/100
= 70%
Answer:
70percent
Step-by-step explanation:
28/40 x 100
0.7 x 100
=70 percent
When Leroy went to bed, the temperature was – 2°F. He needed his electric blanket to keep warm! By morning, the temperature had risen 9°F. What was the temperature in the morning?
Answers
Answer:
it would be 7
Step-by-step explanation:
the equation would be ( if you read the problem) -2+9 and that is equal to 7
7 – Зу = 20
y = 5х – 4
QUICK! how do i do this i need the x and y this is the Systems of equations with substitution
Answers
Answer:
x=1/15 y = -4 1/3
Step-by-step explanation:
First combine like terms.
-3y = 13
y= -13/3
y= -4 1/3
Substitute for y in next equation
-4 1/3 = 5x - 4
5x = 4 1/3 - 4
5x = 4 1/3 - 4
5x = 1/3
x = 1/3 divided by 5
Since fractions can't be divided, multiply by the inverse
x = 1/3 times 1/5 = 1/15
1. Fill in the chart
Words
Expression
The Value of the Expression
a. 50 times the sum of 64 and 36
50 x 64 + 36 )
5000
b. Divide the difference between
1,200 and 700 by 5
(1,200 - 700): 5
100
C. The sum of 3 fifteens and 17
fifteens
45 + 255
d. 15 times the sum of 14 and 6
e.
10 x (250 +45)
f.
(560 + 440) x 14
Answers
Answer:
See answers in bold
Step-by-step explanation:
Words Expression
The Value of the Expression
a. 50 times the sum of 64 and 36 ... 50 x (64+36) = 50x (100) = 5000
50 x 64 + 36 )
5000
b. Divide the difference between 1,200 and 700 by 5 ...(1200-700) / 5 = 500/5 = 100
(1,200 - 700): 5
100
C. The sum of 3 fifteens and 17 fifteens ... [tex]\frac{3}{15}[/tex] + [tex]\frac{17}{15}[/tex] = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]
45 + 255
d. 15 times the sum of 14 and 6 ... 15 x (14 + 6) = 15 (20) = 300
e.
10 x (250 +45) ...10 times the sum of 250 and 45
f.
(560 + 440) x 14... 14 times the sum of 560 and 440
Hope this helps