Answers
Answer:
x=21
Step-by-step explanation:
Hello There!
In order to find the value of x we need to find the value of y
The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent
so y+90=5y+10
step 1 subtract y from each side
5y-y=4y
now we have
90=4y+10
step 2 subtract each side by 10
90-10=80
now we have
80=4y
step 3 divide each side by 4
80/4=20
so y =20
now we plug in y to (5y+10)
5x20=100
100+10=110
So now we can find x
The angle labeled 3x+7 is supplementary with the angle that is equal to 110
meaning that the sum of the two angles equal 180
so 180 = 3x+110+7
step 1 combine like terms
110+117
now we have
180=3x+117
step 2 subtract each side by 117
180-117=63
now we have 3x=63
step 3 divide each side by 3
63/3=21
so we can conclude that x = 21
Answer:
x = 21°
Step-by-step explanation:
y = 180° - 90° - (3x+7)°
y = 83° - 3x
(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:
(5y + 10) + (3x + 7) = 180°
reduce:
5y + 3x = 163°
substitute for y:
5(83° - 3x) + 3x = 163°
415° - 15x + 3x = 163°
reduce:
-12x = -252
divide both sides by -12:
x = 21°
y = 83° - 3(21°) = 20°
check:
(5(20) + 10) + (3(21) + 7) = 180°
110° + 70° = 180°
Related Questions
The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in.
Answers
Step-by-step explanation:
P = L × B
54 = L × 7
54 = 7L
Therefore, L = 54 ÷ 7
L = 7.71
someone help with this plss
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Answer:
YW = ZW
Step-by-step explanation:
Answer:
YW=ZW otherwise I don't know
A shop buys one carton of chocolate bars.
•They sell 3/5 of the bars at a profit of 30 percent
•They sell each of the remaining bars at $0.84
Calculate the overall percentage profit made by the shop from selling all 80 bars
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Help what is the value
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Answer:
I love you 3566267840 and pas 123456
y=8x+7 i need helpppp
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Answer:
i think the answer is d
hpe it helps
Answer:
b
Step-by-step explanation:
What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED
Answers
Answer:
246 cm
Step-by-step explanation:
So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle). Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144
144+48+54= 246
A little boy stands on a carousel and rotates around the road four times. The distance between the little boy and the center of the carousel is 6 feet, then how many feet did a little travel?
1. 389.99FT
2. 150. 72FT
3.1675.39 ft
4. 593.94 ft
Answers
150.72
...............
What is the relationship between the exterior angle of a triangle and its remote
interior angles?
Answers
Answer:
The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.
The relationship between the exterior angle of a triangle and its remote
interior angle is the exterior angle is equal to the sum of the two remote interior angles.
Which is known as the Exterior Angle Theorem.
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the exterior angle is formed when one side of the triangle is extended.
The exterior angle and the two remote interior angles (angles adjacent to the exterior angle on the triangle) form a linear pair, which means they add up to 180 degrees.
More specifically, the exterior angle is equal to the sum of the two remote interior angles.
This relationship is known as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
For example, if one of the remote interior angles of a triangle measures 40 degrees, and the exterior angle adjacent to it measures 120 degrees, then the other remote interior angle measures 180 - 40 - 120 = 20 degrees.
Thus,
The relationship between the exterior angle of a triangle and its remote
interior angle is the exterior angle is equal to the sum of the two remote interior angles.
This relationship is known as the Exterior Angle Theorem.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction
Answers
Question:
[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?
[tex]\frac{H I}{J K}[/tex] [tex]\frac{H J}{J L}[/tex] [tex]\frac{I K}{K L}[/tex] [tex]\frac{J K}{H I}[/tex]
Answer:
[tex]\frac{H I}{J K}[/tex]
Step-by-step explanation:
Given
HLI ~ [tex]\triangle[/tex]JLK
[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Required
Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK implies that:
HL, IL and HI corresponds to JL, KL and JK respectively.
So, the possible ratios are:
HL : IL : HI = JL : KL : JK
Convert to fractions
[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]
So, from the list of options
[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Answer:
its A
Step-by-step explanation:
A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answers
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
Can someone help me with number 2 plzzzz!!!!
Answers
Answer:
Is
Step-by-step explanation:
Correct answer is A I think
6.00+1.50(m)=26.25 find what m is
Answers
Answer:
13.5
Step-by-step explanation:
first let's subtract 6.00 from 6.00 and 26.25
26.25-6=20.25
1.50(m)=20.25
so we need to get rid of the 1.50
so 1.50m divided by 1.50=m
20.25÷1.50=13.5
m=13.5 hope this helps
Help pls it open ended soooo???????
Answers
Answer:
8, 9
Step-by-step explanation:
The answer is 8, and 9
72 = x*(x+1)
Lets factor out 72
1 x 72
2 x 36
3 x 24
4 x 18
....
8 x 9
8 and 9 are consecutive
Madelyn is blocking off several rooms in a hotel for guests coming to her wedding.
The hotel can reserve small rooms, that can room 2 people, and large rooms, that can
room 3 people. How many wedding guests could stay in the hotel if Madelyn reserved
15 small rooms and 14 large rooms? How many wedding guests could stay in the hotel
if Madelyn booked s small rooms and I large rooms?
Answers
Answer:
72
2s+3l
Step-by-step explanation:
for first answer,
15×2+ 14× 3 = 30+ 42=72
for second answer,
2 ×s + 3×l
= 2s+3l
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answers
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
A teacher is making a seating chart in order to group his class of 30 students. He puts 5 students in each group.
What should the teacher do to figure out how many groups he will have?
Answers
Answer:
The teacher should divide the amount of students by 5, that way they'll find how many groups they'll have. And the amount of groups they'll have is 6 groups of 5 students, you didn't ask for this part but I decided it'd be best to add it. Hope this helps, have an amazing day you awesome human! ^w^
Step-by-step explanation:
Please answer. I’ll make brainliest. I have other questions aswell. So if u answer those as well You will get get brainliest for this question and the other two I’m about to post
Answers
The triangle VXW should look like that in the attachment.
sine of W = opposite side/hypotenuse
=> sine of W = 77/85
Other formulae:
cos(θ) = adjacent side/hypotenusetan(θ) = opposite side/adjacent sidei need this pls answer
Answers
Answer:
The answer to the problem is Leah had the shortest distance.
Step-by-step explanation:
Okay to solve this problem we must covert the fractions into decimals
(Maria) 5/6 as a decimal = 0.83
(Leah) 2/3 as a decimal = 0.66
(Jonas) 3/4 as a decimal 0.75
So who had the shortest distance??? Leah had the shortest distance.
Hope that helps. Please mark me brainliest I would appreciate it.
for f(x) = 5x - 7 and f(x) = -3, what is the value of x
Answers
Answer:
Step-by-step explanation:
hello :
f(x) = 5x - 7 and f(x) = -3
5x - 7 = -3
5x=7-3
5x=4
x=4/5
Answer:
x = 4/5
Step-by-step explanation:
5x - 7 = -3
5x = -3 + 7
5x = 4
x = 4/5
Check:
5*4/5 - 7 = -3
4 - 7 = -3
14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?
A. log6 = log2 x log3 = 0.3010 x 0.4771
B. log6 = log2 + log3 = 0.3010 + 0.4771
C. log6 = log2 – log3 = 0.3010 – 0.4771
D. log6 = log2 = log3 = 0.3010 = 0.4771
Answers
Answer:
B. log6 = log2 + log3 = 0.3010 + 0.4771
Step-by-step explanation:
log 2 = 0.3010
log 3 = 0.4771
log 6 = ?
6 = 3 * 2
log 6 = log (3 * 2)
According to log rules;
log (a * b) = log(a) + log (b)
This means;
log 6 = log 3 + log 2
Inserting the values they represent;
log 6 = log 3 + log 2 = 0.4771 + 0.3010
Correct option:
B. log6 = log2 + log3 = 0.3010 + 0.4771
Question 2 (1 point)
5B. A rectangle has perimeter 26 cm, and the length and width are both whole numbers. What is the greatest possible area this rectangle may
have in square cm?
Answers
Width=6
Length =7
will give brainliest for correct answer so pls help me
Answers
Answer: Greater range is girls, greater median is girls.
Step-by-step explanation:
150-70= 80 (girls) while 120-60=60 (boys), and boys is 8-.5 while girls is 110.
image down below thx
Answers
Answer:
question 2 answer you wrote correct
question 3 answer is 20
Answer:
Q.2: 39, Q.3: 20 cups
Step-by-step explanation:
Q.2 Dog/Cat = 2/3
when Dog = 26,
26/cat = 2/3
cat = 26 x 3 / 2 = 39
Q.3 Sugar/Flour = 3/5
when sugar = 12 cups,
12/Flour = 3/5
Flour = 12 x 5 / 3 = 20 cups
If y = -2x + 3, find y when x = -3
Answers
-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3
the price of a pair of earrings is $22 but priya buys them on sale for $13.20.
Answers
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answers
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
solve both of these?
Answers
Answer: 1. 18600000000 2. 645000
Step-by-step explanation:
62000000 x 300 = 18600000000
The area of Rhode Island is 1500. The area of Alaska land is a little more than 430.
1500 x 430 = 645000.
(I not sure if 645000 is the correct number, but that’s what I got).
Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?
Answers
Answer:
Step-by-step explanation:
DOES ANYONE KNOW THE ANSWER
PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth.
Answers
5sin20 = x
x = 1.71
cos20 = y/5
5cos20 = y
y = 4.70
Hope this helps.
luis has 8 chapters to of a book to read. if she reads 2/3 of a chapter each day, how many days will it take her to finish the book?
Answers
Answer:
8/ (2/3)= 12
It will take Luisa 12 days to finish the book.