Answer:
x = 11
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
Angle ABC is an exterior angle of the triangle.
Angles D and C are its remote interior angles.
m<ABC = m<D + m<C
12x - 2 = 57 + 7x - 4
Combine like terms on the right side.
12x - 2 = 7x + 53
Subtract 7x from both sides.
5x - 2 = 53
Add 2 to both sides.
5x = 55
Divide both sides by 5.
x = 11
Answer: x = 11
Answer:
According to exterior angle property, one of the exterior angles of a triangle is equal to the sum of the opposite 2 interior angles.
Thus,
12x-2= 57+7x-4
= 12x = 57-4+7x
= 12x = 53+7x
= 53= 7x-12x
= 53=-5x
= 53÷-5=x
= x= 10.6
Thus x= 10.6
Which group of numbers could be the measures of the sides of a right
triangle?
please answer my question
Alex can climb 8 feet in 30 seconds and can run 112 feet in 20 seconds. When you combine his climbing and running, how many inches would that be?
Answer:
129024
Step-by-step explanation:
hope this help:)
Answer:
1440
Step-by-step explanation:
You add 8 + 112 then divide that by inches
5,820,000 in scientific form
Answer:
5.82 x 10^6
Step-by-step explanation:
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
5.82 ×10 ^6.
Step-by-step explanation:
HELPPPP
Camille wants to set up a hot chocolate stand to raise money. She spends $40 on
hot chocolate and $0.25 for each paper cup. She uses the equation y=0.25x+40
to keep track of her spending. If Camille has $60 in donations to spend, what is
the maximum number of paper cups she can buy?
[tex]y = 0.25x + 40[/tex]
[tex]60 = 0.25x + 40[/tex]
[tex]60 - 40 = 0.25x + 40 - 40[/tex]
[tex]20 = 0.25x[/tex]
[tex] \frac{20}{0.25} = \frac{0.25x}{0.25} [/tex]
[tex]80 = x[/tex]
She can buy a maximum of 80 cups.
Write equations for the following statements.
a. Sixteen added to three times of a number is 1.
b. Half of a number is subtracted from 11, it gives the result 2.
The area of a parallelogram is 8x^2+2x-6 and it's height is 2x+2. What is the base of the parallelogram?
Answer:
4x - 6
Step-by-step explanation:
Remember the formula for finding the area of a parallelogram;[tex](base)*(height)=(area)[/tex]
Manipulate the equation such that it is solved for the base;
[tex](base)=\frac{(area)}{(height)}[/tex]
So the equation that needs to be solved is;
[tex]\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}[/tex]
Set up the division problem and solve;
_____4x - 6___
[tex]2x + 2[/tex] | [tex]8x^{2} + 2x - 6[/tex]
[tex]-(8x^{2}+8x)[/tex]
________
-6x - 6
[tex]+ (6x + 6 )[/tex]
________
0
factorise 7e(6f-2) +5(6f-2)
Answer:
2(3f−1)(7e+5) or 2(7e+5)(3f−1)
Step-by-step explanation:
Hope this helps
Step-by-step explanation:
46ef-14+30f-10
46ef+30f-14-10
46ef+30f-24
2f(23e+15-12)
HEEEEEEEEEEELLLLLLLLPPPPPPPPPPP. PPPPPPLLLLLLEEEEEEAAAAASSSSSEE When Laura started her career at the age of 24, she deposited $800 into a savings account that earns 8.75% interest compounded semiannually. If she makes no other deposits or withdrawals, find the total amount in the account when she retires at the age of 65.
Answer:
she mad 52,000
Step-by-step explanation:
she made 52,000 by working by her job
If 19 erasers cost $3
The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections
Answer:
do it urself sorry i letterely dont know
Step-by-step explanation:
3. What is another way to write x3/5?
A triangle has one angle that measure 75% and one that measure 19% what is the measure of the third angle
Answer:
86%
Step-by-step explanation:
angles in the triangle add up to 180
so we add 75% and 19%
to get 94%
then we subtract 180 by 94%
to get 86%
E= n^2 + n +5 if n =3
Answer:
Step-by-step explanation:
Putting value of n = 3 in equation
(3)2 + 3 + 5
9 + 8
= 17
Answer:
17
Step-by-step explanation:
Given
n² + n + 5 ← substitute n = 3 into the expression
= 3² + 3 + 5
= 9 + 3 + 5
= 17
What is this can you help
Answer:
yes
Step-by-step explanation:
Plsss help plssssssss
Answer:
x = 2
y = 6
Step-by-step explanation:
We have a system of equations and are asked to solve for x and y.
y = -2x + 10
y = 3x
Since both equations start with y, we can subtitute.
3x = -2x + 10
Solve for x :
Add 2x to both sides :
5x = 10
Divide 5 from both sides :
x = 2
Now substitute x in the second equation because it's more easier :
y = 3(2)
3(2)
6
y = 6
HELP ASAP PLZ
Write the next three terms of the arithmetic sequence.
-12, 0, 12, 24, _, _, _
Write the next three terms of the arithmetic sequence.
0.2, 0.6, 1, 0.4, __, __,__
Write the next three terms of the arithmetic sequence.
4, 3 3/4, 3 1/2, 3 1/4 ,__, __, __
Answer:
the next three for the first one are 36 48 60
Solve and show your work: |4x − 1| = 13
PLEASE HELP ME
Answer: x=7/2, x=-3
Step-by-step explanation:
First lets do look at it without the absolute value marks
4x-1=13
4x=14
x=7/2
Now lets do the same but assume 13 is negative,
4x-1=-13
4x=-12
x=-3
Main Task 1 (Core):_Identify the type of angle: acute, right, obtuse, straight, reflex?
90°
Right angle
180°
4°
230°
127°
159°
116°
309
Answer:
Right angle
Step-by-step explanation:
90 degrees is a Right angle
What is the slope of y = -x + 5
Answer:
-1
Step-by-step explanation:
x = the slope. Since it says -x we know that it'd be -1.
6
Divide 2m in the ratio 9-1
Answer:
Step-by-step explanation:
First, add up the two numbers in the ratio to get 8. Next divide the total amount by 8, i.e. divide £40 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3.
If you have $32 and you want to see how many bulbs of elephant garlic you want to buy if four bulbs costs $8 , you first need to see how many $8 can fit into $32 . Thus, divide 32 by 8 . Now that you know $8 can fit into $32 four times, multiply 4 by 4bulbs , since there are four bulbs per $8 .
Answer:
What's the question it awnsers itself?
Step-by-step explanation:
How can you apply mathematical concepts in a natural disaster?
Answer:
If there was a flood, you would calulate how high the water is.
factorise 3abc+6a²b pleaze with step too
Answer:
3ab(c+2a)
Step-by-step explanation:
Given data
3abc+6a²b
we can see that 3, a, and b are common between the two terms
so let us factor them out
3ab(c+2a)
Hence the factored form is
3ab(c+2a)
f(x) = 3x^2-x
Find f(10)
Answer:
f(x)=3x^2-x
Minimum = ( 1/12, -1/24)
if you graph.
Step-by-step explanation:
Round 471.42857 to the nearest cent
Answer:
471
Step-by-step explanation:
do to the number in the tenths place not being higher than 5 all number past the decimal become zero and the whole number stay the same
How do we get from volume to length?
Answer:
Step-by-step explanation:
Volume = length x width x height
At this weekend's football game, 12 out of the first 48 people who enter the field were not wearing hats. If this sample is representative of 200 people attending the game, about how many of them will probably not be wearing hats?
A. 17 people
B. 36 people
C. 50 people
D. 80 people
Answer:
the answer would be C. 50
Step-by-step explanation:
because 200÷48 is 4.16 and 4.16×12 is 49.92 and that rounds to 50 or you could do it easier like the one up about
hope this helped :)
In a scale drawing the length of a rectangular room is 6 inches and the width is 3 inches and the actual length of the room is 18 feet. What is the scale of the drawing
Answer:
1:36
Step-by-step explanation:
Length:
6 inches : 18 feet
1 ft = 12 inches
6 inches = 6/12 = 0.5 ft
Length:
0.5 ft : 18 ft
then. rhe scale is:
1: 36
Required
1. Rewrite in slope-intercept form. *
- 7x + 2y = 8
Answer:
y = [tex]\frac{7}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
- 7x + 2y = 8 ( add 7x to both sides )
2y = 7x + 8 ( divide all 3 terms by 2 )
y = [tex]\frac{7}{2}[/tex] x + 4 ← in slope- intercept form