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2 years ago

14

Please please help me with this question please now and show your steps

1 answer:

sattari [20]2 years ago

6 0

Answer:

$y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0$

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3 years ago

∠5 is a supplement of ∠6, and m∠5=78°. Find m∠6.

vekshin1

Answer:

$102^\circ$

Step-by-step explanation:

Given that:

$\angle 5$ is a supplement of $\angle 6$ .

m $\angle 5$ = 78°

To find:

m $\angle 6$ = ?

Solution:

First of all, let us learn about the concept of an angle being a supplement of the other angle.

$\angle B$ is known as supplement of $\angle A$ , if sum of the two angles is equal to 180°.

$i.e. \angle A +\angle B=180^\circ$ .

For example, angle made on one side by a line intersecting the other line are supplement of each other.

Here, we are given that $\angle 5$ is a supplement of $\angle 6$ .

In other words:

$\angle 5+\angle 6=180^\circ$

Putting value of $\angle 5$ :

$\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}$

So, the answer is: $102^\circ$

6 0

3 years ago