Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
what is the length of line segment FH?
Expand 2/3(x+12)
Expand -4/5(-x+25)
Answer:
2/3 x X + 2/3 x 12
-4/5 x -X + -4/5 x 25
Emma is a sales clerk at a bicycle shop. She is paid $6.25 per hour for 30 hours work week plus a commission of 8% of sales. In one week, her sales were $2319.75, what is her gross weekly earning?
Answer: $373.08
Step-by-step explanation:
First find out what she earned from her normal wages.
She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:
= 6.25 * 30
= $187.50
She then gets 8% of her sales as commission. Her commission is therfore:
= 8% * 2,319.75
= $185.58
Her gross pay is therefore:
= Weekly pay + Commission
= 187.50 + 185.58
= $373.08
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?
Answer:
Please refer to the attached image.
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
can someone please help me with this equation!
Answer:
$19
Step-by-step explanation:
this is the answer
Lateral surface area of this gift box
A total of $5000 is invested part of 6% and the remainder at 12% how much is invested at each rate if the annual interest is $480
Answer:
for 12% it would be $3,000
And, for 6% it would be $2,000
Step-by-step explanation:
The computation of the amount invested at each rate is shown below:
Let us assume the amount invested at 12% be x
So, the $5,000 - x be invested at 6%
The total interest earned is $480
So the equation would be
0.12x + 0.06($5,000 - x) = $480
0.12x + $300 - 0.06x = $480
0.06x = $80
x = $3,000
So for 12% it would be $3,000
And, for 6% it would be $2,000
1. 36.19 to the nearest tenths
Answer:
36.2
Step-by-step explanation:
Answer:
36.20
Step-by-step explanation:
it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.
Subtract. Express your answer in simplest form.
8 1/4 - 5 2/3
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
x + 7 = 12
i'm lost pls help me
Answer:
5
Step-by-step explanation:
12 - 7 = 5
x= 5
.....................................
What is the slope of the function?
Answer:
-4
Step-by-step explanation:
as x goes up one y goes down 4
slope is change in y over change in x
-4/1=-4
The slope of the linear function represented by the table is -6.
To find the slope of the linear function represented by the table, we can use the formula for slope:
Slope (m) = (change in y) / (change in x)
Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):
(change in y) = -16 - 2 = -18
(change in x) = 2 - (-1) = 3
Slope (m) = (-18) / (3) = -6
Therefore, the slope of the linear function represented by the table is -6.
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PLS HELP!!!!!!Which of the following tables represents the relationship between the circumference and diameter of a
circle?
Answer:
itanong mo kay kapatid na arlene
It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Answer: no
Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)
Answer:
no :)
Step-by-step explanation:
because (2,23) and (3,23) have the same y function
hope this helps!
7a^3b-7ab^3 needs factoring plz
Answer:
7ab (a+b)(a-b)
Step-by-step explanation:
HELP ME PLSSSSSS ASAP
Answer:
the answer is 200 mph because you take and divide the 400 miles by 20 mph
Step-by-step explanation:
can u please help me with this
Answer:
d) centimeters
cat average height is 23-25 cm
if you would write it in meters it would be 0.23-0.25 m
in mm 230-250mm
Its just the most convinient
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Water and orange squash is mixed in the ratio 11 : 2 Find how much water is needed to dilute 240 cl of orange squash
Answer: 1,320 cl
Step-by-step explanation:
Water and orange squash are mixed in the ratio 11 : 2.
This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.
If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.
11 : 2
x : 240
Cross-multiply:
2x = 11 * 240
x = 2,640 / 2
= 1,320 cl
What is the answer to: y=-2x-5,4x+3y=15 using substitution to solve it..??
Answer:
Step-by-step explanation:
Plug the first equation into the second
[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]
y=-2(-15)-5
=30-5
=25
The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4
Step-by-step explanation:
0 would be your answer
first you combine like terms and get 5a+4 on each side then you have to solve the equation.
Suppose 15 Argus student ride the city bus to school. Out of a total of 220 students, what percent ride the city bus (round to nearest whole %)
Answer:
7%
Step-by-step explanation:
(15/220) x 100 = 6. 8182 = 7%
to convert to percentage multiply by 100
To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6
Evaluate 4^0×x^-5 when x=2 .
Answer:
1/32
Step-by-step explanation:
Anything to the power of 0 is 1.
1*x^-5 (negative power means the reciprocal)
1/2^5 = 1/32
1*1/32=1/32
When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.
First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.
Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.
Substituting x = 2, we have 1 / 2⁵.
Now, we can simplify the expression:
1 / 2⁵ = 1 / 32 = 0.03125
Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
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The diagram shows a rectangle
ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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