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3 years ago

Suppose △BUG is an isosceles triangle. Find the measure of <B.

Mathematics

1 answer:

algol [13]3 years ago

7 0

Answer:

B=44°

Step-by-step explanation:

x+10+3x+x=180

5x= 180-10

x=34

B= 34+10

B=44°

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Janey bought a used bicycle for $640. the bike was 3 years old when she bought it, and cost $850 new. assuming it decreases in v

Radda [10]

The first thing we must do in this case is to define the variables.
We have then:
v: the value of the bicycle
t: years
The standard equation of the line is:
v-vo = m (t-to)
The slope is:
m = (v2-v1) / (t2-t1)
Substituting values:
m = (640-850) / (3-0)
m = -70
We choose an ordered pair:
(to, vo) = (0, 850)
Substituting values:
v-850 = -70 (t-0)
Rewriting:
v = -70t + 850
Answer:
assuming it decreases in value by the same amount each year, a linear equation for the value of the bicycle, v, when it is t years old is:
v = -70t + 850

6 0

4 years ago

Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.

Ber [7]

The probability of getting a total that is a factor of 21 is 0.22

<u>Explanation:</u>

Factor of 21 is = 1, 3, 7, 21

Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

The possible combinations are:

(1,2) (1,6)

(2,1) (2,5)

(3,4)

(4,3)

(5,2)

(6,1)

Total outcome = 6 X 6

= 36

Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is $\frac{8}{36}$

p(21) = 0.22

Therefore, the probability of getting a total that is a factor of 21 is 0.22

5 0

3 years ago

Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe

Tanya [424]

The equation represents height as a function of time.

The bullet was in the air for 75 seconds.

The equation is given as:

$h(t) = -16t^2 + 1200t$

The time spent in the air is the time it takes the bullet to land on the ground.

When the bullet is on the ground, the height is:

$h(t) = 0$

So, we have:

$h(t) = -16t^2 + 1200t$

$-16t^2 + 1200t = 0$

Factor out t

$t(-16t + 1200) = 0$

Split

$t = 0$ or $-16t + 1200 = 0$

$t = 0$ represents when the shot is fired.

So, we solve for t in $-16t + 1200 = 0$

Collect like terms

$16t = 1200$

Divide both sides by 16

$t = 75$

Hence, the bullet was in the air for 75 seconds

Read more about height and time at:

brainly.com/question/2261757

5 0

2 years ago

A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat

Phoenix [80]

Answer:

20%

Step-by-step explanation:

8 0

3 years ago

A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of co

r-ruslan [8.4K]

First let's find how many total ounces it would be by multiplying 16 ounces by the number of mugs (26).

16 × 26 = 416

So she needs 416 ounces of coffee. Now we have to convert ounces to quarts. We need to know that there are 32 ounces per quart. So to find quarts we divide 416 ounces by 32...

416 ÷ 32 = 13 quarts

*FYI- since the mugs hold 16 ounces we can see that 16 is half of 32 so we could have just taken 1/2 of 26 mugs which is 13.

4 0

3 years ago

Suppose △BUG is an isosceles triangle. Find the measure of <B.​

Suppose △BUG is an isosceles triangle. Find the measure of <B.