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Talja [164]
3 years ago
8

Please help! Thank you!​

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Divide both sides by 3

Take square root of both sides.

Add 9 to both sides.

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In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?
wel

Answer:

B) 81°

Step-by-step explanation:

Given:

From the figure given below,

∠1 = 3x + 18

∠7 = 2x + 39

∠1  and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.

Therefore, the angles 1 and 7 are congruent to each other. This gives,

∠1  ≅ ∠7

3x+18=2x+39\\\\3x-2x=39-18\\\\x=21

Therefore, the value of 'x' is 21.

Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,

\angle 7 = 2x + 39\\\\\angle 7 =2\times 21+39\\\\\angle 7 =42+29\\\\\angle 7 =81\°

Therefore, the correct option is option (B).

4 0
3 years ago
Read 2 more answers
At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.70 m/s2. at the same inst
77julia77 [94]

You know that t=0 and x=0, the car starts moving with a constant acceleration of 2.70m/s²

At the same time, a truck moving speed o 8.50 m/s passes the car

D=v.t (for the truck)

And d= v.t+1/2.a.t²(for the car)

v.t=1/2.a.t²

t=2.v/a

t=2.8.50 m/s/ 2.70 m/s²

17m/2.70=6.29

This mean that the distance is  

D=v.t=8.50m/s.6.29= 53.465 m/s

The speed of the car is  

Vcar=a.t

2.7m/s2×× 53.65

=144.34


4 0
3 years ago
How to write the expression 5 more than 2 times the value of n​
galina1969 [7]
Answer = 2 plus 5 times n
6 0
3 years ago
Match each system of linear equations to its solution. A. (5, –6) b. (–2, 8) c. no solution d. (3, 1) e. (2, –8) f. (4, –1) g. i
almond37 [142]

Answer:

NOT SURE HOLD ON

Step-by-step explanation:

7 0
3 years ago
A lot of 100 semiconductor chips contains 15 that are defective. three chips are selected at random from the lot without replace
Alex787 [66]
D=event that chip selected is defective
d=event that chip selected is NOT defective

Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154

Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20


5 0
4 years ago
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