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makvit [3.9K]
3 years ago
13

∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then fin

d the measure of \angle B∠B.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

∠B = 52°.

Step-by-step explanation:

Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.

Since ∠A and ∠B are vertical angles. So, there measure are equal.

m\angle A=m\angle B

(8x-4)^{\circ}=(7x+3)^{\circ}

8x-4=7x+3

8x-7x=4+3

x=7

Now,

m\angle B=(7(7)+3)^{\circ}

m\angle B=(49+3)^{\circ}

m\angle B=52^{\circ}

Therefore, the measure of ∠B is 52°.

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A

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

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with a = - 3, b = 2 and c = - 7, hence

x_{vertex} = - \frac{2}{-6} = \frac{1}{3}

Substitute this value into the equation for y-coordinate

y = - 3 (\frac{1}{3})² + 2 ( \frac{1}{3}) - 7

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4 0
3 years ago
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Vitek1552 [10]

Answer:

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Step-by-step explanation:

<em>Reflection across x-axis</em>

<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2

<em>Reflection across y-axis</em>

<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2

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