Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
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Step-by-step explanation:
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Answer: $5,678.85
Step-by-step explanation:
First find out how much the fund was worth after 5 years.
Compound interest formula:
= Investment * (1 + rate) ^ years
= 4,000 * ( 1 + 11%)⁵
= £6,740.23
Half was removed:
= 6,740.23/2
= £3,370.12
Then compound this for the remaining 5 years:
= 3,370.12 * (1 + 11%)⁵
= $5,678.85
Answer:
Step-by-step explanation:
To understand the situations we must do a Venn diagram:
The total of people asked is 3400. Then,
a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:
b) For people who did not enjoy chocolate, vanilla or mint:
