Answer:
x=3
Step-by-step explanation:
Answer:
760,000
Step-by-step explanation:
<h3>
Answer: 48</h3>
=====================================================
Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
-------------------
The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
-------------------
Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:
1.2m
Step-by-step explanation:
1 meter = 100 cm
120cm * (1m/100cm) = 1.2m
Answer:
<h2>400 L of orange punch</h2>
Step-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
<u>400 L of orange punch</u>
