Answer:
The value of x is 16
Step-by-step explanation:
We can clearly see in the diagram that a transversal is intersecting two parallel lines.
When a transversal intersects two parallel lines, eight angles are formed.
The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.
Corresponding angles are congruent.
So,
Angle 6x+4° and 100° will be congruent or equal
[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]
Hence,
The value of x is 16
answered Which of the following values are solutions to the inequality -9>-4+5x
Answer:
-1>x
Step-by-step explanation:
how do you calculate the area and perimeter of a slope triangle?
Answer:
How you find the area of a triangle is by, multiplying two of the sides together then multiplying that by 1/2 or .5 . To find the perimeter of the triangle add all the three sides together!
Step-by-step explanation:
please help me with these.. brainliest.
Answer:
it will be on platform 9 3/4
Step-by-step explanation:
work out the area of a semi circle take pi to be 3.142 and five your answer to two decimal places
Answer:
what are the measurements of the semi circle
Step-by-step explanation:
A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?
Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he traveling?
Answer: 8 hours
Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.
QUICK I NEED HELP!!!
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.
104 inches
146 inches
154 inches
168 inches
Answer:
168
Step-by-step explanation:
photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).
You can then multiply the original height by 12 to get the answer
12 X 14 =168
Answer:
D: 168.
Step-by-step explanation:
Divide the new width by the old width to find the scale factor of 12. Then multiply 12 by the old length of 14 to get 168 the new length.
find all the zeros of the quadratic function
[tex]y = x^{2} - x - 20[/tex]
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[tex]y = {x}^{2} - x - 20[/tex]
[tex]y = (x - 5)(x + 4)[/tex]
To find the zeroes , Just need to put 0 instead of y .
[tex]0 = (x - 5)(x + 4)[/tex]
[tex](x - 5)(x + 4) = 0[/tex]
_________________________________
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]
_________________________________
[tex]x - 5 = 0[/tex]
Add sides 5
[tex]x - 5 + 5 = 0 + 5[/tex]
[tex]x = 5[/tex]
Or
[tex]x + 4 = 0[/tex]
Subtract sides 4
[tex]x + 4 - 4 = 0 - 4[/tex]
[tex]x = - 4[/tex]
Thus the zeroes are :
( - 4 , 0 ) and ( 5 , 0 ) .
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[tex]3x^{2} +9x^{2}-9x+9[/tex]
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[tex]3 {x}^{2} + 9 {x}^{2} - 9x + 9 = [/tex]
[tex](3 + 9) {x}^{2} - 9x + 9 = [/tex]
[tex]12 {x}^{2} - 9x + 9 = [/tex]
[tex]3(4 {x}^{2} - 3x + 3) [/tex]
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four bottles cost 2.5 dollars. Find the price of each bottle
u will get brainliest and all my points
Answer:
Step-by-step explanation:
The last step should be: using distributive property by taking out of parentheses the common factor √5
4√5 + 9√5 = √5(4 + 9) = 13√5
The error is made at the last step
it should be 13√5 instead of 13√10.
On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest what fraction of the course with Mr. Miles from the beginning of the trail when he stopped
Answer:
31/40
Step-by-step explanation:
Given that:
Fraction of the trail walked intulally = 9/10
Fraction of the trail walked back = 1/8 before stopping to rest
His current distance from the beginning :
Distance walked initially - distance walked back
9/10 - 1/8
The L. C. M of 10 and 8 = 80
Hence,
9/10 - 1/8
= (72 - 10) / 80
= 62 / 80
= 31 / 40
Hence, his rest point or position is 31/40 from the beginning of the trail
At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?
Answer:
3 medium and 2 large pizzas.
Step-by-step explanation:
70= 2.5+(12.50x+15y)
70-2.5=67.5
Possibilities
67.5=12.5(1)+15(4) FALSE(72.5)
67.5=12.5(4)+15(1) FALSE (65)
67.5=12.5(2)+15(3)FALSE(52.5)
67.5=12.5(3)+15(2)
TRUE (67.5)
4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle
at a constant rate during a 102-minute experiment. The bottle is completely empty
just as the experiment ends. At what rate does the number of teaspoons of
solution in the bottle change?
Answer:
The rate of solution change is 2/3 teaspoons per minute
Step-by-step explanation:
Here, we want to calculate rate
From what we have in the question,
68 teaspoons of solution dropped out entirely within 102 minutes
So the rate is takes to drop out per minute will be:
68/102 = 2/3 teaspoon per minute
Please help its 7to10 please as fast as possible I wanna sleep
Answer:
7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms
9. m and 2m are like terms, 3³ and 2 are like terms
10. 6³ and 6² are like terms, y³ and 5y³ are like terms
Step-by-step explanation:
The like terms are the terms that have the same variable with the same powerAll numerical rational terms are like termsThe numerical terms with the same radical are like termsLet us solve from No. 7 to No. 10
#7
∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²
∵ 2b and b have the same variable and the same power
∴ 2b and b are like terms
∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6
∴ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
#8
∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7
∵ 6 and 7 are numerical rational terms
∴ 6 and 7 are like terms
∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power
∴ 2n and [tex]\frac{n}{4}[/tex] are like terms
#9
∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2
∵ m and 3m have the same variable and the same power
∴ m and 2m are like terms
∵ 3³ and 2 are numerical rational terms
∴ 3³ and 2 are like terms
#10
∵ The terms are 6³, y³, 3y², 6², y, 5y³
∵ 6³ and 6² are numerical rational terms
∴ 6³ and 6² are like terms
∵ y³ and 5y³ have the same variable and the same power
∴ y³ and 5y³ are like terms
Where will the lines y= -2/5x + 1 and y= -2/5x - 2 intersect?
Answer:
Never
Step-by-step explanation:
Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect
The figure is cut into 15 equal pieces. 2. Shade of the figure. 5
Answer:
Each equal part is called one-fourth or a quarter of the whole sheet. Thus, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole. It is expressed as 1/4 and read as one over four or one upon four.
Step-by-step explanation:
For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned
Answer:
45 ways
Step-by-step explanation:
Combination method is appropriate for this question since it deals with arrangement.
i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]
Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;
Let n = 10 and r = 8
[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]
= [tex]\frac{10!}{2!8!}[/tex]
= [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]
= [tex]\frac{10*9}{2}[/tex]
= 45
Therefore, the number of ways by which the records can be arranged is 45.
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.
Answer:
x - 5y = - 10
Step-by-step explanation:
y = mx + b (b is y-intercept)
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~
x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)
(5, 3)
m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)
x - 5y = - 10 (standard form)
Marshall is writing an equivalent equation to solve for x. What should be his next step? 5 x + 4 y = 8. 5 x + 4 y minus 4 y = 8 minus 4 y. 5 x = 8 minus 4 y.
Answer:
d)Divide both sides of the equation by 5.
Step-by-step explanation:
Marshall is writing an equivalent equation to solve for x. What should be his next step?
5x+4y=8
5x+4y-4y=8-4y
5x=8-4y
a)Add 5x to both sides of the equation.
b)Subtract 5x from both sides of the equation.
c)Multiply both sides of the equation by 5.
d)Divide both sides of the equation by 5.
5x + 4y = 8
Subtract 4y from both sides
5x + 4y - 4y = 8 - 4y
5x = 8- 4y
Divide both sides by 5
5x / 5 = (8 - 4y) / 5
x = (8 - 4y) / 5
Marshall's next step should be to divide both sides of the equation by 5
Answer: D)Divide both sides of the equation by 5.
Step-by-step explanation:
got it right edge 2021
John ran 3 miles in 25.5 min the equation y = 8.5x can be used to represent this situation
Answer: All the answers to this page 47
Step-by-step explanation:
Here’s all the answers to this page 47
It’s on a PDF the link should be attached
In the equation, y = 8.5x the variable y represents time and x represents the distance in miles.
What is a linear equation?The linear equation is defined as the equation having a degree of one or the power of the variable will be one. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that John ran 3 miles in 25.5 min the equation y = 8.5x. The equation is satisfying the answers. The solution will be calculated as follows:-
y = 8.5x
Here, the y variable is the total time and x is the distance in miles.
y = 8.5x
For 3 miles the time will be calculated as follows:-
y = 8.5 x 3
y = 25.5 minutes
Therefore, in the equation, y = 8.5x the variable y represents time and x represents the distance in miles.
To know more about the linear equation follow
https://brainly.com/question/1884491
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if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA
Answer:
55
Step-by-step explanation:
FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.
Answer:
55
Step-by-step explanation:
Just subtract 180 and 125
You said that m∠DCF = 125° right?
And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180
m∠DCF + m∠DCA = 180
replace (since m∠DCF = 125):
125 + m∠DCA = 180
-125 -125
m∠DCA = 180 - 125
m∠DCA = 55
Find the GCF of the following set of numbers
260, 80, 50
Answer:
10
Step-by-step explanation:
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.
Hope this helps you :)
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage tea hours after Sara left her house
Answer:
y=80-8x
Step-by-step explanation:
Bc the 80 is what it started at and the x represents the hour
(In y=mx+b form)
is y=x/4 a proportional relationship
Answer:
yes
Step-by-step explanation:
The function f(x) = x/4 represents a proportional relationship.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A straight line represents a proportional relationship. Mathematically -
y = mx + b
(y - b)/x = m [m is constant]
or
y = mx
m = y/x [m is constant]
Given is the following function -
y = x/4
We have -
f(x) = x/4
Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -
y = mx
where - [m] is constant
y = x/4
y = (1/4)x
On comparing, we get -
m = 1/4
Hence, the function f(x) = x/4 represents a proportional relationship.
Therefore, the function f(x) = x/4 represents a proportional relationship.
To solve more questions on proportional relationship, visit the link below-
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m: -1/2 Point: (-1, 3) Solve for y=mx+b
Help
Answer:
y= (-1/2)x+(5/2)
Step-by-step explanation:
equation point slope
(y-y1)=m(x-x1)
y-3 = -1/2(x+1) add -3 to both sides and distribute
y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2
y=(-1/2)x +(-1+6/2) solve
y= (-1/2)x+(5/2)
help 6th grade math i will give brainliest
Answer: A) 175%
B) 260%
C) 171.43%
Step-by-step explanation:
Answer:
1.4/3
2.13/5
3.12/7
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 9x + 3y = -27.
Fully reduce your answer.
Answer:
The slope is -3
Step-by-step explanation:
y=-3x-9
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:
A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?
Answer:
It dosent say at this rate so all you need is this
Minutes/ questions which your answer is
75/30