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°
A is correct:
Let volume v, length l, and h height.
v= (l²h)/3
v=(x²9)/3
v=3x²
Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
the proportion of adults who belong to health clubs is 10% that is 0.10
the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.
Thus, the proportion of all adults who go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
Per damaged carton the clerk uses 7 feet 7 inches of twine.
or
91 inched total.
multiply 91 times the amount of cartons needed (17) your answer is 1547
