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3 years ago

What is the measure of angle B? 78° o 92° o 102° o 282°

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

The answer is C 102 degrees. It is so because a triangles 3 angles add up to 180 degrees. If you know 2 of your angles, you would add them together and subtract that by 180 to find your last angle.

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What is the solution to this equation y=4x (1,3) (-1,-4) (-4,-1) (1,-4) !ASAP!

RideAnS [48]

(-1,-4) this is saying that when x=-1, y=-4. Plugging it into the line equation y=4x gives
$(- 4) = 4( - 1)$
Which is correct.

3 0

3 years ago

On March 9, 2018, NCAA fans across the world were shocked when the Retrievers of the University of Maryland, Baltimore County (U

blsea [12.9K]

Answer:

UMBC scored 10,14 and 12 one - point free throws, two point baskets and three point baskets respectively.

Step-by-step explanation:

Let's start defining the variables.

X : ''Number of 1 - point free throws''

Y : ''Number of 2 - point baskets''

Z : ''Number of 3 - point baskets''

UMBC scored a total of 74 points. Therefore,

$X.1+Y.2+Z.3=74$ (I)

Where X.1 represents the total points from 1 - point free throws.

Where Y.2 represents the total points from 2 - point baskets.

And finally Z.3 represents the total points from 3 - point baskets.

Reading the exercise, we can write two more equations :

$Y=Z+2\\Z=X+2$

Let's write Y and X in terms of Z

$Y=Z+2$ (II)

$Z=X+2$ ⇒ $X=Z-2$ (III)

Replacing (II) and (III) in (I) :

$(Z-2).1+(Z+2).2+Z.3=74$

$Z-2+2Z+4+3Z=74$

$6Z+2=74\\6Z=72\\Z=12$

We find that the variable Z is 12. Replacing this value in (II) and (III) ⇒

$Y=12+2=14\\Y=14$

$X=12-2=10\\X=10$

Finally, UMBC scored 10 baskets from 1 - point free throws,14 baskets from of 2 - point and 12 baskets of 3 - point.

We can verify by replacing X = 10 , Y = 14 and Z = 12 in equation (I) :

$10.1+14.2+12.3=74\\10+28+36=74\\74=74$

5 0

3 years ago

Read 2 more answers

Why did the student eat his homework? Answer to 5.1 puzzle time big math blue The teacher told him it was a piece of cake

wel

Answer:

Not quite sure what the purpose of this question is, but... How do you get straight A's?

Use a ruler

*insert rimshot*

Step-by-step explanation:

7 0

3 years ago

The ratio of two numbers is 8 to 5. The difference in two numbers is 24. What are the numbers?

Varvara68 [4.7K]

Let, the numbers are: 8x, 5x
It is given that, 8x - 5x = 24
3x = 24
x = 24/3
x = 8

So, 8x = 8(8) = 64
also, 5x = 5(8) = 40

In short, Numbers would be 40 and 64

Hope this helps!

8 0

3 years ago

A box of books has a mass of 4.10 kilogram for ever meter of its height a box of magazines has a mass of 3 pounds for every foot

Tju [1.3M]

No rounding is necessary to answer the question.

We can subtract the (linear) density of the second box from that of the first to see which box is heavier per unit height.

$\dfrac{4.10\,kg}{1\,m}-\dfrac{3\,lb}{1\,ft}=\dfrac{4.10\,kg}{1\,m}\cdot\dfrac{1\,lb}{0.45\,kg}-\dfrac{3\,lb}{1\,ft}\cdot\dfrac{3.28\,ft}{1\,m}\\\\=\dfrac{4.10\,lb}{0.45\,m}-\dfrac{3\cdot 3.28\,lb}{1\,m}=\dfrac{4.10-3\cdot 3.28\cdot 0.45}{0.45}\dfrac{lb}{m}=\dfrac{4.10-4.428}{0.45}\dfrac{lb}{m}$

This value is obviously less than zero, so ...

... the box of magazines has the greater mass per unit height.

_____

The question didn't ask for the mass per height, and we didn't compute it. All we did was make a conversion to comparable units. The units we ended up with are mixed English and metric units, but that doesn't matter for the purpose of comparison.

Since all we're really interested in is the sign of the difference of mass/height, we don't even need to actually compute that difference. We just need to do enough computation to be able to tell whether the sign is positive or negative.

3 0

4 years ago