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2 years ago

Write and solve an equation to determine the measures of the angles in each

Mathematics

1 answer:

Anarel [89]2 years ago

5 0

Answer:

9. x = 45°

10. x = 55°

11. x = 9°

Step-by-step explanation:

$9. \: x + x + 2x = 180 \\ 4x = 180 \\ x = \frac{180}{4} \\ x = 45$

$10. \: x + (x - 2) + 72 = 180 \\ x + x - 2 + 72 = 180 \\ 2x + 70 = 180 \\ 2x = 180 - 70 \\ 2x = 110 \\ x = \frac{110}{2} \\ x = 55 \\$

$11. \: 4x + 3x + 13x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ x = 9 \\$

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Find x if B is between A and C

taurus [48]

Answer:

Given - AB = X + 5

BC = 2(x - 3)

= 2x - 6

TO FIND - Value of X

SOLUTION -

B is the mid point of AC

AB = BC

x +5 = 2x - 6

x- 2x = (-6)-5

-x = (-11)

x = 11

Value of X = 11

7 0

2 years ago

Assume that in a particular military exercise involving two units, Red and Blue, thereis a 60 % chance that the Red unit will su

Marysya12 [62]

Answer: a) There are 42% chances that both units will meet their objectives.

b) There are 88% chances that one or the other but not both of the units will be successful.

Step-by-step explanation:

Since we have given that

Probability that the Red unit will successfully meet its objectives = 60% = P(R)

Probability that Blue unit will successfully meet its objectives = 70% = P(B)

Probability that only Red unit will be successful = P(only Red) = 18%

As we know that

$P(only\ red)=P(R)-P(R\cap B)\\\\0.18=0.60-P(R\cap B)\\\\0.18-0.60=-P(R\cap B)\\\\-0.42=-P(R\cap B)\\\\P(R\cap B)=42\%$

Hence, there are 42% chances that both units will meet their objectives.

the probability that one or the other but not both of the units will be successful is given by

$P(R\cup B)=P(R)+P(B)-P(R\cap B)\\\\P(R\cup B)=0.60+0.70-0.42\\\\P(R\cup B)=0.88\\\\P(R\cup B)=88\%$

Hence, there are 88% chances that one or the other but not both of the units will be successful.

6 0

2 years ago

1.Lin is tracking the progress of her plant's growth. Today the plant is 5cm high. The plant grows 1.5 cm per day.

lions [1.4K]

A. y=5+1.5d
b. after 20 days it will be 5+ 1.5 × 20 = 5+ 30= 35 cm

3 0

2 years ago

Read 2 more answers

five friends bought admission tickets to the museum and a box lunch. The cost of each admission ticket was 11.75$. Each box lunc

IrinaK [193]

Answer:

83.75$

Step-by-step explanation:

(5×11.75)+5×(5)=?

5×(11.75+5)=? [DISTRIBUTIVE PROPERTY]

5×16.75=?

83.75

4 0

2 years ago

Read 2 more answers

If 3x+8=3x+8 is it one solution or no solution

Nadusha1986 [10]

Answer:

infinite solutions

Step-by-step explanation:

3x+8=3x+8

Subtract 3x from each side

3x-3x+8=3x-3x+8

8=8

Since this is always true, we have infinite solutions

4 0

2 years ago