Answers
Answer:
[tex]\huge\boxed{x=29;\ y=51}[/tex]
Step-by-step explanation:
This is Isosceles triangle (look at the picture).
We know:
All triangles have internal angles that add up to 180°
Therefore:
[tex](x-2)+(x-2)+(4x+10)=180[/tex]
combine like terms:
[tex](x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29[/tex]
(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).
Therefore:
[tex]3y+(x-2)=180[/tex]
substitute x = 29 and solve for y:
[tex]3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51[/tex]
Related Questions
Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=
Answers
Answer:
3971.570
Step-by-step explanation:
PLEAAAAASSEEEEEEEEEEE
im held captive._.
Answers
The inequality that models the situation is:
[tex]15000 + 4s \geq 450000[/tex]
Solving it, it is found that they need to sell at least 108,750 shirts.
During the day:
They earned 15000 in mask sales.They will sell s shirts, and earn a total of of 4s.Hence, the earnings are:
[tex]T = 15000 + 4s[/tex]
They want to earn at least 450,000, hence:
[tex]T \geq 450000[/tex]
[tex]15000 + 4s \geq 450000[/tex]
Solving it:
[tex]15000 + 4s \geq 450000[/tex]
[tex]4s \geq 435000[/tex]
[tex]s \geq \frac{435000}{4}[/tex]
[tex]s \geq 108750[/tex]
They need to sell at least 108,750 shirts.
A similar problem is given at https://brainly.com/question/24514895
a cafe sells a regular cup of coffee for $1 and a large sup for $1.50. melissa and her friend buy 5 cups of coffee and spend a total of $6. find the number of large cups.
Answers
Answer:
65
Step-by-step explanation:
it is the largest cup so it is 65
Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5
Answers
Answer:
25h+12
Step-by-step explanation:
Combine Like Terms:
21h+−10h+16+−9+14h+5
(21h+−10h+14h)+(16+−9+5)
25h+12
Same thing, no difference.
Hope this helped! :)
120 to 140 what is the percent of change?
Answers
Answer:16.667%
Step-by-step explanation:
140 - 120 = 20
20 / 120 = 16.667%
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
Answers
The distance between points (a) and (b) is the number of units between the points.
Formula for halfway two
Assume the lesser point is point (a)
To locate the halfway between points (a) and (b)
Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).The above steps is represented as:
[tex]P = a + \frac{|a - b|}{2}[/tex]
Using the above formula, the halfway point between 5 and 11 would be 8
The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points
Real world circumstance
The formula can be used to calculate the halfway distance between two points on a track
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
Read more about distance at:
https://brainly.com/question/9935574
The next term in the geometric sequence -1, -2, -4 __ is -6.
True or False
Answers
Answer:
False
Step-by-step explanation:
It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)
The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answers
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
Write the word sentence as a Equation.
The difference between a number p and 6 is -14
Answers
Step-by-step explanation:
how do we find the difference between 2 numbers ? by subtracting one from the other.
p - 6 = -14
p = -8
Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list
Write a word problem that can be represented by the expression 4 3/8 divided by 8
Answers
Answer:
Word Problem: The length of a shoelace is 4 and 3/8 meters. How many shoelaces can be made from an 8-meter lace?
Step-by-step explanation:
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answers
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
CAN YOU HELP ME #6 please
Answers
Answer:
Step-by-step explanation:
f(x) = (3x+3)/(x-2)
Use a graphing program such as DESMOS. See attachment.
The asymptotes are:
The asymptotes are:
y = ± infinity as x reaches 2
x = ± infinity as y reaches 3
PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answers
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
What is the value of this expression? 4/15+3/5−2/3 Quick
Answers
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .
don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams
thx for answering :)
Answers
We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]
[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]
[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]
[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]
[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]
[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]
Hence ,
x : y = 3 : 4[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]
[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]
[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]
[tex]\\ \sf\longmapsto 21y=28x[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]
Cut 7[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto x:y=3:4[/tex]
what is 3 3/5 - 6 1/7
Answers
3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35
In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
Answers
Answer:
option C can be used.
Step-by-step explanation:
hope this helps you.
Lesson 3: Revisiting Proportional Relationships
Answers
If it is given that log2 a= 5 , write the value of a as a power of 2
Answers
In other words, write it in exponential form.
To write a as a power of 2, your log form should be written this way: log_2 (5) = a.
We can then then write it in exponential form showing a as a power of 2.
Here it is:
2^(a) = 5
4/9 7/21 change to percent
Answers
Answer:
Hi there, your answers here are 44% and 33%.
To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.
To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.
\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3
Answers
First make note of the domain of the left hand side.
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.
• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.
• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.
Now solve the equation. Taking the square of both sides of
√(7 + √(2 + √(x + 1))) = 3
yields
7 + √(2 + √(x + 1)) = 3² = 9
√(2 + √(x + 1)) = 2
Squaring both sides again gives
2 + √(x + 1) = 2² = 4
√(x + 1) = 2
And once more,
x + 1 = 2² = 4 ⇒ x = 3
is associative prperty holds good under subtraction over integer
Answers
Answer:
nope
Step-by-step explanation:
A-(b-c)=(A-b)-c
let a be 2, b be 3 and c be 4
2-(3-4)=(2-3)-4
2-(-1)=(-1)-4
2+1=-1-4
3=-5
therefore, association is not goot under subtraction
I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......Answer:
No, the associative property does not hold good for the subtraction of integers.
Please help! Brainliest!
The graph f(x) = (x + 1)^2 – 7 is translated 3 units right and one unit up, resulting
in the graph g(x). Write an equation that represents the new function, g(x).
Answers
Answer: g(x) = (x-2)^2 - 6
Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.
(x+1) is x=-1 and (x-2) = 2.
Hope this helps.
The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet on the football field? Explain your answer.
Answers
What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2
Answers
Answer:
A. Slope = -2, y-intercept = 2/3Step-by-step explanation:
Convert the given equation into slope-intercept form:
3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3The slope is -2, the y-intercept is 2/3
Correct choice is A
⇒ 3(y - 2) + 6(x + 1) - 2 = 0
⇒ 3y - 6 + 6x + 6 - 2 = 0
⇒ 3y = -6x + 2
⇒ y = (-6x + 2)/3
⇒ y = -2x + ⅔
FINAL ANSWER :Slope = -2
Y - intercept = +⅔
Answer :Option (a) is the correct answer .
1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?
Answers
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
If the x axis is positive and the y is zero what’s quadrant or axis is it in?
Answers
Hope this helps!
Brainliest is much appreciated!
Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS
Answers
mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5
Answers
Answer:
god help you
Step-by-step explanation:
i think we should add all the ratio together.......
find the slope of the line that contains each pair of points -9,-5 and 6,-5