Answer:
<u>The length of GI is 90.06 units </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
GH = 60 units
HI = 42 units
∠H = 123°
2. Using the Law of Cosines, we can find the length of GI, this way:
GI² = GH² + HI² - 2 * GH * HI * cos ∠H
Replacing with the real values:
GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 + 2,746.8
GI² = 8,110.8
GI = √ 8,110.8 = 90.06 units
So we need to isolate the variable. In order to do that, we need to multiply both sides by 5/4.
Why? That's so that 4/5z will be canceled out when multiplied by 5/4 to get just z.
And so, we would get 20 as our answer.
Answer:
Yes, Triangles RST and VUT are congruent by ASA
Step-by-step explanation:
we know that
If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent by ASA Postulate
In this problem
m∠RST≅m∠VUT ----> (right angle)
m∠RTSCm∠VTU ---> by vertical angles
ST≅UT----> given problem
therefore
RST≅VUT
Triangles RST and VUT are congruent by ASA
Answer:
g = (x - 2)/3
Step-by-step explanation:
x=3g+2 can be rearranged as:
3g + 2 = x
So, to make g the subject formula 3g must be placed alone
i.e 3g = x - 2
Now, to get the value of g, divide both sides by 3
3g/3 = (x - 2) /3
g = (x - 2)/3
Thus, the value of g is (x - 2)/3