Answers
To solve this problem, you have to know that the measure of all the angles of a triangle is equal to 180 degrees.
Let's add each angle together and set them equal to 180 degrees.
180 degrees = 3x + 2x + 1 + x + 5
Combine like terms
180 degrees = 6x + 6
Subtract 6 from both sides
174 degrees = 6x
Divide both sides by 6
29 = x
We know that angle A = 3x = 3(29) = 87 degrees.
Related Questions
What is the mode of the set of data?
12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6
Answers
Answer:
13
Step-by-step explanation:
this is because you have to look for the most common number
r-18=27 Solve this equation
Answers
Step-by-step explanation:
r - 18 = 27
r = 27 + 18
r = 45
...
Answer:
r=45
Step-by-step explanation:
r-18 =27
r=27 +18
r=45
45 - 18 =27
Find the area of a rectangle whose width is 6 and whose length is x – 5.
Answers
Answer:
If X is -5 then the answer is -30 but if it is X minus 5, the answer is X-30
Answer:
x-30
Step-by-step explanation:
Area of a rectangle is
length x width
l x w
[tex]x-5 * 6 = x-30[/tex]
4 + 3 x 7 − 1 = 42 put brackets
Answers
Answer:
42
Step-by-step explanation:
(4 +3) ×(7-1) =
7 ×6 =
42
What is the y-intercept in this equation?
6x + 3y = 24
Answers
Answer: y=8-2x
Step-by-step explanation: Move all terms that don't contain y
to the right side and solve
Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answers
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
Learn more about midpoints here:
https://brainly.com/question/28224145
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For each graph write the domain and range using inequalities.
Answers
Answer:
to find the domain and range you need to take (x,y)
domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.
if you have r{2,2,2} then you should but just r;{2}
hope i helped
Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house
Answers
Answer: Hector needs to drive 325 more miles.
help dont understand like its confusing one minute u add then substract like...
Answers
Answer:
53 degrees
Step-by-step explanation:
< will be angle UwU (using pc)
m<JKM = 151 degrees is the total angle combining m<1 and M<2
therefore, we subtract m<2 from m<JKM to find m<1
Here is the equation:
m<JKM = m<1 + m<2
151 = m<1 + 98 (substitute)
53 = m<1 (simplify the like term so we subtracted 98 on both sides)
hope this helps!
1
Pizza often comes in slices that are of a pizza each. Maria buys 36 slices for a birthday
8
party she is throwing,
(a) Represent the total amount of pizza that (b) Write your answer from (a) as a mixed
Maria is buying as a fraction. Do not number in simplest form. What does this
simply
answer tell you?
Answers
Answer:
Step-by-step explanation:
the pizza come in slices that are 1/8 each.
there are 36 slices, which means [tex]\frac{36}{288}[/tex]. so the simplest form is 1/8 as well. Maria bought 4 pizzas
The total amount of pizza Maria bought as a fraction is [tex]\frac{36}{4}[/tex] and 8 [tex]\frac{1}{2}[/tex] as a mixed number
Total amount bought = fraction of a slice x total slices bought
[tex]\frac{1}{4}[/tex] x 36 = [tex]\frac{36}{4}[/tex]
The above expression is an improper fraction
An improper fraction is a fraction in which the numerator is greater in value than the denominator
36 is greater than 4
A mixed number is a number that is made up of a whole a whole number and a proper fraction.
To convert to an improper fraction to a mixed number:
Divide the numerator by the denominator. The whole number is written down The remainder is the numerator and the denominator in retained[tex]\frac{36}{4}[/tex] = 8[tex]\frac{2}{4}[/tex]
When it is simplified it becomes 8 [tex]\frac{1}{2}[/tex]
To learn more about mixed fractions, please check: https://brainly.com/question/17767863?referrer=searchResults
Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?
Answers
Answer:
8 meters
Step-by-step explanation:
56 / 7 = 8
please I need help with both problems .( also show work plz)
Answers
Answer:
4. x = 50
5. x = 5
Step-by-step explanation:
For question 4:
Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50For question 5:
Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5Answer:
4) x= -50
5) x= 5
Step-by-step explanation:
Number 5
Simplifying
-3x + -2 = -17
Reorder the terms:
-2 + -3x = -17
Solving
-2 + -3x = -17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2
Combine like terms: -17 + 2 = -15
-3x = -15
Divide each side by '-3'.
x = 5
Simplifying
x = 5
Number 4
x/5+7 = -3 // + 3
x/5+3+7 = 0
1/5*x+10 = 0 // - 10
1/5*x = -10 // : 1/5
x = -10/1/5
x = -50
x = -50
F(x) = 6x³- x²+ 7x +5
Answers
Answer:
F= 6x²-x+7+ 5/x
Step-by-step explanation:
Divide each term by x and simplify it.
Hope this helps.
Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?
Answers
Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60
B: 54, now in this step find what -3x2 is which give you -6 since they're different signs then subtract and your answer will be 54
Step-by-step explanation:
Triangle Z is a scaled copy of Triangle M.
Select all the sets of values that could be the side lengths of Triangle Z.
a. 8, 11, and 14.
b. 10, 17.5, and 25.
C. 6, 9, and 11.
d. 6, 10.5, and 15.
e. 8, 14, and 20.
Answers
Answer:
D and E are correct
Step-by-step explanation:
Here, we want to select the set of values which could be the values of the sides of triangle z.
What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:
We proceed as follows;
a. 8, 11 and 14.
This cannot be correct
Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.
B. 10, 7.5 and 25
This cannot be correct too. Looking at the way 4 and 10
are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct
C. 6 , 9 and 11
This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up
D 6, 10.5 and 15
This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these
4 * 1.5 = 6
7 * 1.5 = 10.5
and 10 * 1.5 = 15
e. 8, 14 and 20
Multiplying the sides of triangle M by 2, we can get these values.
4 * 2 = 8
7 * 2 = 14
and 10 * 2 = 20
The scale up value here is simply 2
Answer:
actually it's B, E, and D. At least that's what I got and it said it was correct.
Step-by-step explanation:
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get
Answers
[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]
[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex] (adding the second equation to the first one)
[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]
a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces
Answers
Step-by-step explanation:
27 = x + 3x +5x
27 = 9x
3 = x
Board 1: (3)(1) = 3 inches
Board 2: (3)(3) = 9 inches
Board 3: (3)(5) = 15 inches
Length of the first piece is 3 inches
Length of the second piece is 9 inches
Length of the third piece is 15 inches
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find the lengths of all three pieces?According to the problem,
The length of the board is 27 inches.The board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece∴ Length of the second piece = 3x inches
∴ Length of the third piece = 5x inches.
Now, all these pieces will add up to 27 inches.
∴ x + 3x + 5x = 27
⇒ 9x = 27
⇒ x = 3
Length of the first piece = 3 inches
Length of the second piece = (3 x 3) inches = 9 inches
Length of the third piece = (5 x 3) inches = 15 inches
Find more about "Simple Equations" here: https://brainly.com/question/847634
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Robert had $58.62 in his bank account. He got paid $142.76. He then bought a new jacket for $63.76. He also bought 2 new movies for $6.99 each. He then babysat for his sister and was paid $12. How much money does Robert have now?
Answers
Robert then decides to buy a new jacket that costs $63.76 which means he made a withdrawal from his account of $63.76
So you would now subtract the total in his bank account from the cost of the new jacket. This leaves him with $137.62 left in his bank account.
Next Robert bought two new movies, which each cost $6.99 and so because he bought two movies, you multiple $6.99 by two. This comes out to $13.98 which is the amount Robert paired to purchase the two new movies. Robert withdrew the $13.98 from his bank account, leaving him with $123.64 left in his bank account.
Finally, Robert is paid $12 for babysitting his younger sister. He adds this to his bank account, which means his bank account total is $135.64
This means that Robert now has $135.64 in his bank account.
Hope this helps :)
28 divided by -4 is the same as: (read attachment) pls help
Answers
Answer:
it's the last one
Answer:
Step-by-step explanation:
D- 28/-4
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
Answers
I’m assuming these two angles are complimentary (they add up to 90)
If one angle is 68, to find the other just subtract 68 from 90
90-68 = 22
The unknown angle is 22 degrees
is 6.458 a rational number
Answers
Answer:
It is a rational number
Answer:
Rational
Step-by-step explanation:
6.458 is rational because it is not repeating or infinite.
Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?
Answers
Answer:
$3,270
Step-by-step explanation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 18%/100 = 0.18 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 3000(1 + (0.18 × 0.5)) = 3270
A = $3,270.00
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.
6x^2=21x-9 Need help learning factoring please put work so I can understand
Answers
4(x-6)=-4 I'll give you brainly
Answers
Answer: X = 5
Step-by-step explanation:
solve by multiplying the inside ( )
4x -24 = -4
add 24 to both sides
4x = 20
divide by 4
x = 5
The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?
Answers
1.65 x 10 exponent -3 for the 10
What is X= to and what does Y= to?
Answers
Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
5x + y = 180 degrees
Or, 5x+ 78 = 180 degrees
Or, 5x= 180-78
Or, 5x=102 degrees
Or, 5x=102/4
Therefore, x=20.4 degrees
f(x)=2x+5 find f(-6)
Answers
Answer:
Step-by-step explanation:
f(x) = 2x + 5
f(-6)= 2(-6) + 5 = -12 + 5 = -7
Two stores sell CDs in packages, as shown in the table below. CD Prices at Store A Number of CDs in Package 1 12 20 45 Cost $0.70 $8.40 ? $31.50 CD Prices at Store B Number of CDs in Package 1 20 30 65 Cost $0.60 ? $18.00 $39.00 If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
Answers
Answer:
IT'S A BELIEVE PLZZZZZZZz
Step-by-step explanation:
Answer:
The cost at Store A is $2.00 greater than at Store B.
Step-by-step explanation:
i had the same quiz this was correct
A dinner for 7 people costs $215. 75. Approximately how much will each person pay if they split the bill evenly?
Answers
Answer:$30.82
Step-by-step explanation:
215.75
You divide by 7 because there are 7 people
215.75 divided by 7
‼️Please help‼️
Find the value of x and RT if RS=24 cm
Answers
RS = RT + TS = 24 cm
Let's plug our values into the equation above
24cm = 6x - 4 + 10cm
Combine like terms
24 cm = 6x + 6 cm
Subtract 6 cm from both sides
18 cm = 6x
Divide both sides by 6
3 = x
Plug 3 into the expression for RT
RT = 6(3) - 4 = 18 - 4 = 14 cm
Similarly, we know that TS = 10 cm and RS = 24 cm
24 cm - 10 cm = 14 cm
RT = 14 cm
14 cm = 6x - 4
Add 4 to both sides
18 cm = 6x
Divide both sides by 6
3 = x