Step-by-step explanation:
the area of a rectangle is
length × width.
our job here is to find all integer values for length and width, so that their product is 90.
that means that length and width are both factors of 90.
the factors of 90 are
1 × 90
2 × 45
3 × 30
5 × 18
6 × 15
9 × 10
10 × 9
15 × 6
18 × 5
30 × 3
45 × 2
90 × 1
the prime number grouping
is
2 45 (can't be divided by 2 anymore, so,
next prime factor)
3 15
3 5 (can't be divided by 3 anymore, so
next prime factor)
5 1 (the end)
so, besides 1 and these prime factors, the only other factors are combinations of these prime factors :
2×3 = 6
2×5 = 10
3×3 = 9
3×5 = 15
2×3×3 = 18
2×5×3 = 30
3×5×3 = 45
Answer:
50/96
Step-by-step explanation:
I assume the table is:
Even numbers are 2, 4, and 6. The total number of times she rolled an even number is 13 + 17 + 20 = 50.
So the probability is 50/96.
Answer:
Step-by-step explanation:
The answer is B
By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER
By the hinge theorem,TS > AC. FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.
By the converse of the hinge theorem, mS > mC.the statement that is true
By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.
<h3>
Answer: B. Parallel</h3>
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Explanation:
Solve each equation for y. In other words, get y by itself
Let's start with the first equation
-3x = 3 - y
-3x - 3 = -y
-y = -3x-3
y = 3x+3
Do the same for the second equation
-1+y = 3x-2
y = 3x-2+1
y = 3x-1
The two equations we got were
y = 3x+3
y = 3x-1
Both have the same slope (m = 3) but different y intercepts, so we have parallel lines here.