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3 years ago

Find the value of x. 50° Type the correct answer, then press Enter

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer:

x=65

Step-by-step explanation:

the sum of the angles of any triangle is equal to 180°. So, we do 180-50= 130. Then we divide 30 by two because there are two remaining angles so 130/2=65. x=65

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Find a number with six factors, all of which are odd numbers

melamori03 [73]

Answer:

Step-by-step explanation:

1,3,5,9,15,45

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3 years ago

What is the sum of the exterior angles of a convex polygon?

Volgvan

Answer:

Step-by-step explanation:

The sum of the exterior angles for each polygon is always 360°.

The sum of the interior angles for each polygon is always 180°(n-2).

If you have n-sided convex polygon, then

$\left(\text{Sum of all interior angles}\right)+ \left(\text{ Sum of all exterior angles}\right)=180^{\circ}\cdot n$

So,

$\left(\text{Sum of all interior angles}\right)+ 180^{\circ}\cdot (n-2)=180^{\circ}\cdot n\\ \\\left(\text{Sum of all interior angles}\right)=180^{\circ}\cdot n-180^{\circ}\cdot (n-2)=180^{\circ}\cdot (n-n+2)=360^{\circ}$

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3 years ago

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

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2 years ago

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Would the -5 go to the left or the right on the number scale?

jeyben [28]

The number -5 would go to the left of a number scale. Typically because all negatives move to the left of zero on the number scale.

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3 years ago

Given PA=13 in. and CB=15 in.<br><br> What is CA ?

alexandr1967 [171]

Triangles CPA and CPB are both right triangles. They share a leg, so that leg in one triangle is congruent to that leg in the other triangle. We are given that PA is congruent to PB by the hash marks on the diagram. Thus two legs and an included angle are congruent between the triangles.

... ∆CPA ≅ ∆CPB by the SAS postulate

Then side CA ≅ CB = 15 in, because corresponding parts of congruent triangles are congruent (CPCTC).

... CA is 15 in.

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2 years ago

Read 2 more answers