9514 1404 393
Answer:
48°
Step-by-step explanation:
ΔACB is isosceles, so angles A and B have the same measure. The measure of angle C in that triangle is ...
∠C = 180° -2(69°) = 42°
Angle C in ΔCDE has the same measure. Angle D is the complement of that:
∠D = 90° -42° = 48°
_____
The relations we used are ...
- the sum of angles in a triangle is 180°
- base angles of an isosceles triangle are congruent
- vertical angles are congruent
- acute angles in a right triangle are complementary
Answer:
1
Step-by-step explanation:
The absolute value of -3 is 3, so 4-3=1
Answer:
3
Step-by-step explanation:
5x - 8 = 7
5x = 7+8
5x = 15
x = 15 ÷ 5
x = 3
Answer: 12,8 approximately 13 cones
Step-by-step explanation:
1] volume of a cone
V=1/3πr^2h
V=1/3π(3)^2(5)
V=47,12 cubic inches
2] volume of a cylinder
V=πr^2h
V=π(8)^2(3)
V=603.19
Now devide the volume of a cylinder by the volume of a cone
603,19÷47,12=12,8 cones
Answer:
I could do 1 and 3
1) 2x-3y=-2 ....1
-
2x+y=14......2
=-4y=-16
y=4
<u>Substitute</u><u> </u><u>(</u><u>y</u><u>=</u><u>4</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>
2x-3 (4)=-2
2x-12=-2
2x=-2+12
2x=10
×=5
3) 5x+5y=20....1
-
-3x+5y=4......2
=8x=16
x=2
<u>S</u><u>ubstitute</u><u> </u><u>(</u><u>x</u><u>=</u><u>2</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>
<u>5</u><u> </u><u>(</u><u>2</u><u>)</u><u>+</u><u>5y</u><u>=</u><u>20</u>
<u>10</u><u>+</u><u>5y</u><u>=</u><u>20</u>
<u>5y</u><u>=</u><u>20-10</u>
<u>5y</u><u>=</u><u>10</u>
<u>y</u><u>=</u><u>2</u>