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Step2247 [10]
3 years ago
11

Find the value of x. A.75 B.25 C.35 D.105

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

B. 25

Step-by-step explanation:

3x  \degree = 75 \degree \\ (alternate \:  \angle \: s) \\  \\ 3x = 75 \\  \\ x =  \frac{75}{3}  \\  \\ x = 25

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What’s the least common multiple of x^2-2x-15 and x^2+2x-3?
Ghella [55]

Answer:

\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}

Step-by-step explanation:

x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15

4 0
3 years ago
If Katrina runs at a pace of 5 miles per hour how many miles can she run in 2 hours?
OLEGan [10]
Katrina can rums 10 miles per hour because if you multiply 5 miles per hour by 2 is ten
5 0
3 years ago
Read 2 more answers
32 is 40% of what is the answer
ANTONII [103]
32 is 40% of?

32/40

32 ÷ 40 = 0.8
0.8 × 100 = 80
80

32 is 40% of 80. 
6 0
3 years ago
Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6
Ksenya-84 [330]
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

7 0
3 years ago
The cone in the figure below has a volume of 722 cubic centimeters and a height of 6
azamat

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72

4 0
2 years ago
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