Answer:
42
Step-by-step explanation:
Since the scale factor is 2:7, you can divide the given number by 2 then multiply it by 7, so 12/2x7=42
Answer: 2u+4 <8= u<2
2u+4<8
Step 1: Subtract 4 from both sides.
2u+4−4<8−4
2u<4
Step 2: Divide both sides by 2.
2u/2<4/2
u<2
<u>4u-53 15</u>
=4u−795
Step-by-step explanation:
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
An obtuse triangle is a triangle which has one obtuse angle. <span>
Obviously, only a single angle in a </span>triangle<span> can be </span>obtuse<span> or it wouldn't be a </span>triangle.
Hope that helps you
Here, we are required to determine the point where point H lie on the number line.
The point H is at point 2.5 on the number line.
The distance between point F and G on the number line is:
4 - (-2) = 6 numbers on the number line.
And since the ratio of FH to HG is 3:9
- Then, let point H be at no. X on the number line.
Therefore; FH/HG = (4 - x)/(x - (-2))
i.e 3/9 = (4 - x)/ (x +2).
By cross multiplication, 3x + 6 = 36 - 9x.
Therefore, 12x = 30
and, x = 2.5
Therefore, the point H is at point 2.5 on the number line.
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