9514 1404 393
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:
16%
Step-by-step explanation:
800 is 16% of 5000 so and it decreased by 800, so it decreased by 16%
Angles:
2 acute angles and 2 obtuse angles
Sides:
2 pairs pf parallel sides
Answer:
Step-by-step explanation:
The equation to solve for "a" is:
The first step is to convert all of them to same bases.
9, 81, and 27, all can be expressed in base 3, lets do this:
We can use the property: to simplify further:
The right side has 2 same bases multiplied, we can simplify this using the property:
Thus, we have:
Now, both sides have same base, so exponents would be equal. Now lets equate and solve for "a":
So,
a = -4
Steps:
1. Turn 5 into 4 3/3
2. Do 4 3/3 - 1 2/3
3. 4-1=3
4. 3-2=1
5. Your answer is
3 1/3