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2 years ago

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x + 10) degrees, what is the value of x?

Mathematics

1 answer:

user100 [1]2 years ago

7 0

Answer:

Correct option is

∘

,90

∘

,90

∘

Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90

∘

Now, ∠AOD=∠COB=90

∘

(Vertically opposite angles)

⟹∠AOD+∠DOB=180

(Angles on a straight line)

⟹90+∠DOB=180

∠DOB=90

∘

∠DOB=∠AOC=90

∘

(Vertically opposite angles)

Thus, all angles are 90

∘

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I need help community

Tamiku [17]

Answer:

Option C, F(x) = (x+2)/(x+1)

Answered by GAUTHMATH

3 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Please please please help.

saul85 [17]

Answer:

Step-by-step explanation:

(-5,-3) is a point on the graph.

f⁻¹(-3) = -5

7 0

3 years ago

Solve: 36x = 216 Step 1: 6x+2 = 216 Step 2: 6x+2 = 63 Step 3: x + 2 = 3 Step 4: x = 1 Hilary is solving the problem. If she made

NNADVOKAT [17]

Well the answer options are a bit confusing but the steps are 1, 2, & 3.

7 0

3 years ago

Newton has 28 cows Sally has 17 what is the sum?<br>

melamori03 [73]

Answer: 45

Step-by-step explanation:

Sum is addition so it would be

28+17=45

6 0

2 years ago

Read 2 more answers