Answer:
<h2>d = 23</h2>
Step-by-step explanation:
∠IHE and ∠GHF are vertical angles.
Vertical angles have the same measures (are congruent).
Therefore, if m∠IHE = d + 44 and m∠GHF = 4d - 25, then we have the equation:
d + 44 = 4d - 25 <em>subtract 44 from both sides</em>
d + 44 - 44 = 4d - 25 - 44
d = 4d - 69 <em>subtract 4d from both sides</em>
d - 4d = 4d - 4d - 69
-3d = -69 <em>divide both sides by (-3)</em>
-3d/(-3) = -69/(-3)
d = 23
Hi there!
Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.
4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30
So, now we know that x is 30°.
Hope this helps!
Answer:1/5, 5/8, 2/3
Step-by-step explanation:
Using 1/2 as a benchmark, 1/5 is the only one less than 1/2. That is the least. You can turn 2/3 and 5/8 into fractions with common denominators. 2/3=16/24 and 5/8= 15/24. 5/8 is less than 2/3, therefore resulting in the answer.
Answer:
The arc length, radius and the included angle are related as
r\theta=\widehat {XYZ} where \theta is in radians.
The radius r is given by
r=\frac{\widehat {XYZ} }{\theta} \\ r=\frac{10.8}{1.8} \\ r=6\;units
Correct choice is (B).
Step-by-step explanation:
Step-by-step explanation:
(b) If 
then
Note that 
cancel out so we get
Solving for 
we get
(c) I'm not sure what the problem is asking for but here goes. As r doubles, 
becomes
