*see attachment below for the figure referred to
Answer:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:
<CBD and <ABE;
<CBA and <DBE
Thus:
m<CBD = m<ABE;
m<CBA = <DBE = 37°
Also, m<CBA + m<CBD = 180° (supplementary linear pair)
m<ABE + m<DBE = 180° (supplementary linear pair)
Therefore, the following statements are TRUE:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Answer:
3.141592653589793238462643
Step-by-step explanation:
Pretty obvious.
what an "Nerd"
Answer:
The answer is c
Step-by-step explanation:
Answer:
There are 7 cups of soup left in the pot
Step-by-step explanation:
Firstly, we need to know the number of cups of soup made.
Since 1 quarts = 4 cups, the number of cups her 4 quarts is would be 4 * 4 = 16 cups
Now she served 1.5( 1 1/2 = 1.5) to 6 people, her total servings is thus 6 * 1.5 = 9 cups
What is remaining is thus 16 cups - 9 cups = 7 cups
Number of females = f
Total number of people in audience = n
0.4n = f
f + (f+ 100) = n
2f + 100 = n
Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n
2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500
There were 500 people in the audience.
