18/30=?/100
18 times 100 = 1800
1800 divided by 30
60%
<em><u>Answer: x=-2 *The answer should be the negative sign.*</u></em>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
remove parenthesis
-15x-15*4=-30
15*4=60
-15x-60=-30
add 60 both sides of an equation.
-15x-60+60=-30+60
simplify.
-15x=30
divide by -15 both sides of an equation.
-15x/-15=30/-15
simplify.
30/15=2
x=-2
Hope this helps!
Thanks!
Have a great day!
Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer:
48
Step-by-step explanation:
10% of 480 = 10/100 × 480
= 48
We need the circumference and area of the circle equations:
c = 2*pi*r
a = pi*r^2
lets find the radius from the first equation:
r = c/2*pi
r = 157/(2*3.14)
r = 24.99 ft
now lets calculate the area:
a = pi*r^2
a = 3.14*(24.99)^2
a = 1960.93 ft^2
Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:
time = <span>1960.93/400
time = 4.9 hours
that would be 5 hours rounded to the nearest hour</span>
