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denis-greek [22]
3 years ago
9

What is the measure of ZB? 28 36 B [?] degrees Enter

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0
All triangles have a measurement of 180 degrees. Therefore, we can use this information to make an equation to find the value of angle B.

Angle B = 180 - (28 + 36)
Angle B = 180 - 64
Angle B = 116

So, angle B is equal to 116 degrees.
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Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. L
miskamm [114]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

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3 years ago
Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by
Temka [501]

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is h centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = (h+6) centimeters and Jim's current height = (h-10) centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = h+(2*5)=(h+10) centimeters,

Lisa's height = (h+6)+(2*5)= (h+16) centimeters and

Jim's height = (h-10)+(2*5)= h centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146

So, the current height of Lan is 146 centimeters.

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Answer:

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The given trinomial is x^{2}-6x-16.

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The factors of x^{2}-6x-16 is (x-2) and (x-8).

So, the factor of x^{2}-6x-16 is (x-8). Hence, the correct option is (B).

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Answer:

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Step-by-step explanation:

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