Which relationship describes angles 1 and 2?

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

<span>adjacent angles
</span><span>complementary angles
</span>this are the answers

katovenus [111]3 years ago

4 0

Answer: The answer is (A) complementary angles.

Step-by-step explanation: We are given a figure involving angles 1 and 2 and we are to select the correct relation between these two angles.

We have

$\angle 1+\angle 2+90^\circ=180^\circ,~\textup{measure of a straight angle is 180 degrees}\\\\\Rightarrow \angle 1+\angle 2=180^\circ-90^\circ\\\\\Rightarrow \angle 1+\angle 2=90^\circ.$

We know that, if the sum of two angles is 90°, then they are said to be complementary angles.

Thus, ∠1 and ∠2 are complementary angles.

Thus., (A) is the correct option.

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What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)

svlad2 [7]

ANSWER

The vertex of the graph of
$y = \frac{1}{3} {(x - 9)}^{2} + 5$
is

$(9,5)$

EXPLANATION

The vertex form of a parabola is given by

$y = a {(x - h)}^{2} + k$

where
$V(h,k)$
is the vertex of the parabola.

The function given to us is

$y = \frac{1}{3} {(x - 9)}^{2} + 5$
This is already in the vertex form.

When we compare this to the general vertex form, we have,

$a = \frac{1}{3}$

$h = 9$
and

$k = 5$

Therefore the vertex of the parabola is

$V(9,5)$

Hence the correct answer is option A.

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