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Answer:
∠GDH = ∠GHD = 50°
Step-by-step explanation:
Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...
∠EDG = ∠EDH +∠HDG
100° = 50° +∠HDG
50° = ∠HDG
You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have a sum equal to the exterior angle FGD, so is ...
∠DHG = ∠FGD -∠HDG = 100° -50° = 50°
So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
she had $ 24 to spend on 7 pencils....and after buying them she had $ 10.
this means that the total of the pencils was (24 - 10) = $14
and assuming each pencil cost the same price....
14/7 = $ 2 per pencil
or u can set it up as an equation
24 - 7x = 10....with x being the price of a pencil
24 - 10 = 7x
14 = 7x
14/7 = x
2 = x <==
3(2x+1) = 7-2(x+5)
6x+3 = 7-2x-10
-3 -3
6x = 7-2x-10-3
+2x +2x
8x = -6
---- -----
8 8
x = -3/4