In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.
In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:
80 + 2x = 180
Subtract 80 from both sides of the equation.
2x = 100
Divide both sides by 2.
x = 50
This means that angle F and angle H in ∆FDH both measure 50°.
Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.
First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.
**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**
In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:
Angle DHF + Angle DHG = 180°
50° + Angle DHG = 180°.
Angle DHG = 130°.
Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:
130 + 2x = 180
2x = 50
x = 25
The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.
Solution: 25°
Answer:
45 different ways to fill the positions.
Step-by-step explanation:
Consider the provided information.
Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and Upper V₂, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5.
We need to find the probability that 2 positions be filled if the Upper V₁ position is to be filled from plant A and the Upper V₂, position from plant B?
To fill the post of V₁ from plant A, which has 9 officers, we have 9 ways.
To fill the post of V₂ from plant B, which has 5 officers, we have 5 ways.
Therefore, the total number of ways are: 
Hence, 45 different ways to fill the positions.
Answer:
A an = -3 * (1/8) ^ (n-1)
Step-by-step explanation:
We know the first term a1 = -3
And the common ratio r = 1/8 from the an = an-1 * 1/8
The explicit formula is
an = a1 r^ (n-1)
an = -3 * (1/8) ^ (n-1)
Answer:
2 because 2 mas dos usual a 4
Step-by-step explanation:
call lab I. dmlen
nslh
sh.
duo
23
rw
Answer:
what's up
Step-by-step explanation:
