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3 years ago

30 pointsWhat is the value of y?Enter your answer in the box.y =

Mathematics

1 answer:

bezimeni [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, angle B and angle C have the same measure. If angle B is 75, then so is angle C. By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. That means that angle A = 180 - 75 - 75 which is 30 degrees. Therefore,

Angle A = 30 degrees. By the substitution property of equality,

4y + 10 = 30 and

4y = 20 so

y = 5

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Patsy by 8 yards of ribbon. She cuts it into 16 equal pieces. How many inches long is each piece?

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3 years ago

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Area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

qwelly [4]

Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:

area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2

Substitute the values in to the expression,
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12

Final answer would be 12 units.

Hope this helps!

5 0

3 years ago

DEAR SIRS AND MISSES, PLEASE HELP ME!

GaryK [48]

Volume of a cone= $\pi$ r^2*h/3
$\pi$ *3^2*6/3=56.55

volume fo a sphere = 4/3 $\pi$ r^3
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2 years ago

2. what value of b makes the following equation true

Svetradugi [14.3K]

Answer:

2. 10

3. D. 1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b = 1/a^-b

$\dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}$

The value of n is 10.

3. Using the above rules of exponents, the expression simplifies to ...

6^(-n+n) = 6^0 = 1

The value is 1 for any n.

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3 years ago