How do you find the base of a triangle if you know the height and the area?
2 answers:
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Answer:
4.9%
Step-by-step explanation:
This question is incomplete. However; it can be found on search engines. The complete question is as follows :
An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.
Solution :
In an ice chest there are different cans of juice. Among them
Number of cans of apple juice = 6
Number of cans of grape juice = 8
Number of cans of orange juice = 4
Number of cans of mango juice = 2
Total number of cans of juice = 6 + 8 + 4 + 2 = 20
Let A, B and C are the event of selecting of three cans. The events A, B and C are dependent.
Probability of selecting three cans of juice
P =
P (A) =
P (B) =
P (B) =
P = ×
×
=
= 0.049 or 4.9%
Probability of selecting three cans of grape juice is 4.9%
Answer:
m∠CEB is 55°
Step-by-step explanation:
Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.
∠ADC = 110° because it is double of ∠ADE.
Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.
∠ADC = ∠CBE = 110°
All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:
360° - 2(110°) = 2(∠DCB)
∠DCB = 140°/2
∠DCB = ∠BAD = 70°
∠DCB was bisected by EC, which makes each divided part half.
∠DCE = ∠BCE = (1/2)(∠DCB)
∠DCE = ∠BCE = (1/2)(70°)
∠DCE = ∠BCE = 35°
All triangles' angles sum to 180°.
In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.
∠CEB = 180° - (∠BCE + ∠CBE)
∠CEB = 180° - (35° + 110°)
∠CEB = 55°
Therefore m∠CEB is 55°.
