Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
All sides are the same, hence, all three angles are the same, and each one of them is 60 degrees. Due to that:
7x + 4 = 60
7x = 56
x = 56/7 = 8
8y + 12 = 60
8y = 48
y = 48/8 = 6
Answer:
Yes you are right on both.
Step-by-step explanation:
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I have attached a screenshot of the question along with the available choices.
Answer:∠A = 78°
Explanation:We are given that ΔABC is isosceles-angled triangle.
This means that:
AB = AC
∠ABC = ∠ACB
We are given that ∠ABC = 51°
This means that ∠ACB = 51°
Now, the sum of measures of the angles of a triangle = 180°
This means that:
∠A + ∠ABC + ∠ACB = 180
∠A + 51 + 51 = 180
∠A + 102 = 180
∠A = 180 - 102
∠A = 78°
Hope this helps :)
Answer:
x = 3
Step-by-step explanation:
The smaller triangle and larger one are similar, so corresponding sides are proportional.
8/4 = (8 +(x -1))/5
10 = x +7 . . . . . . . . . multiply by 5 and simplify
3 = x . . . . . . . . . subtract 7
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<em>Alternate solution</em>
The short segments are also proportional:
(x -1)/(5 -4) = 8/4
x -1 = 2 . . . . simplify
x = 3 . . . . . . add 1