Answer:
B. 1050
Step-by-step explanation:
With receiving 70% of the 1,500 votes, Mr. Jones overall ended up receiving 1050 votes.
70% of 1500 is equal to (70 × 70) / 100 = 1050.
Answer:
5485/45
Step-by-step explanation:
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
<em><u>Recall:</u></em>
- A segment that divides an angle into equal parts is known as an angle bisector.
- Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.
In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
<em>This implies that: ΔHGE and ΔFGE have:</em>
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
brainly.com/question/82493
Answer:
h=14.9966
Step-by-step explanation:
1. The formula of the volume is:
V=
2. So you have to substitute the the data that you have:
3533.5=
3. To have the area of the base (ab) you have to get the formula of the circle's area and solve:
A=()
A=()
A=3.1416(225)
A=706.86in
4. Now you have the area of the base:
3533.5=
5. In this step you are going to clear the variable which is the heigh (h) and solve as an equation:
3533.5=
3533.5(3)=706.86(h)
=h
h=14.9966
The result may vary depending on the value of that you use,