24.92/1000 and show the work

ruslelena [56]

Answer:

A

Step-by-step explanation:

The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that $x$ equals half of the difference of $30\textdegree$ and the measure of the unlabeled arc.

First, we need to find the measure of the unlabeled arc, since we can't find $x$ without it. We know that the measure of the full arc formed by the circle is $360\textdegree$ , so the measure of the unlabeled arc must be $360-30-100-100=130\textdegree$ by the Arc Addition Postulate.

Now, we can find $x$ . Using all of the information known, we can solve for $x$ like this:

$\\x=\frac{1}{2} (130\textdegree-30\textdegree)\\=\frac{1}{2} (100\textdegree)\\=50\textdegree$

Hope this helps!

5 0

3 years ago

Consider the function f(x) = 3x2 + 7x + 2.

Llana [10]

Answer:

Step-by-step explanation:

This function I believe has one x intercept which is (-2/13,0)

5 0

3 years ago

Read 2 more answers

Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6

Katarina [22]

Answer: Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29 (i)

6x +2y = 26 (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39 (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2 [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

7 0

3 years ago

Consumer Math work. Please help

Firdavs [7]

Answer:

$337.5

Step-by-step explanation:

He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.

7 0

3 years ago

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this iso

abruzzese [7]

Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

c) determine the principal square root of both sides of the equation.

d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

a²+ b²= c²

But for an Isosceles Triangle, where two sides of the triangle are equal, we have:

a²+ a² = c²

By combining like terms

2a² = c²

We square root both sides of the equation.

√2a² = √c

√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

4 0

3 years ago

Read 2 more answers