Answer:
there were 200 children and 500 adults at the show
Step-by-step explanation:
7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
Answer:
Q3: A
Q4: 9x² + (-x) + (-3)
Step-by-step explanation:
Q3: C (63) => x = 63. => C(x) = 36 x 63
Q4: f(x) + g(x) = 7x² - 5x + 3 + 2x² + 4x - 6 = (7x² + 2x²) + (-5x + 4x) + (3 - 6) = 9x² + (-x) + (-3)
Answer:
- Blue - 18, green - 50, with photo - 37
Step-by-step explanation:
<u>Total number = 150</u>
- Blue = 150/8 = 18 (integer part)
- Green = 150/3 = 50
- Spaceman Spiff autograph = 150/4 = 37 (integer part)
Answer:
35 in^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height.
Base 1: 8, Base 2: 6, Height: 5
(8 + 6)/2 = 7
7 * 5 = 35 in^2
