25 PTS PLEASE HELP QUICK

Find the value of a. A. 58 B. 130 C. 86 D. 65

tatiyna

Answer:

$C. \ \ \ 86$ °

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

$a = c$

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

$86=\frac{a+c}{2}$

Substitute,

$86=\frac{a+c}{2}$

$86=\frac{a+a}{2}$

Simplify,

$86=\frac{a+a}{2}$

$86=\frac{2a}{2}$

$86=a$

5 0

3 years ago

Those are my choices pls tell me which one would fit this problem!! THERES A PIC ATTACHED

denis23 [38]

Answer: Opens up, has a minimum

Step-by-step explanation:

If the x^2 term is positive the parabola opens up, if it is negative it opens down. Minimum always goes with up, maximum with down

7 0

3 years ago

Which factor or factors listed below are internal influences on a loans interest rate?

Feliz [49]

Each of the following lines from "The Love Song of J. Alfred Prufrock" contains allusion except
A. "I am no prophet—and here's no great matter;"
B. "To say: I am Lazarus, come from the dead,"
C. "No! I am not Prince Hamlet, nor was meant to be;"
D. "I shall wear white flannel trousers, and walk upon the beach."
Read the following lines from "The Love Song of J. Alfred Prufrock."

5 0

3 years ago

Let f(x)=x2+5x−36 . Enter the x-intercepts of the quadratic function in the boxes.

san4es73 [151]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2-5*x-(36)=0

Step by step solution: Step 1: Trying to factor by splitting the middle term

1.1 Factoring x2-5x-36

The first term is, x2 its coefficient is 1.
The middle term is, -5x its coefficient is - 5.
The last term, "the constant", is -36 

Step-1: Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2: Find two factors of -36 whose sum equals the coefficient of the middle term, which is - 5.

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 -9 + 4 = -5 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
 x2 - 9x + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors :
 x • (x-9)
 Add up the last 2 terms, pulling out common factors :
 4 • (x-9)
Step-5: Add up the four terms of step 4 :
 (x+4) • (x-9)
 Which is the desired factorization

Equation at the end of step 1 : (x + 4) • (x - 9) = 0 Step 2 :Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :
 x = -4

Solving a Single Variable Equation :

2.3 Solve : x-9 = 0

Add 9 to both sides of the equation :
 x = 9

6 0

3 years ago

Read 2 more answers

Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled alon

3241004551 [841]

Answer:

Step-by-step explanation:

Calling it blocks is a little weird. but a good way to do it is to move left or right until you are over or below where you want to go then move up or down accordingly. Each move, left, right up or down will count as one block.

So from the fire station you go 1 to the right and then 6 down, for a total of 7. then from the library it's 3 right then 4 up, which is 7 again. 7 to the first stop then 7 to the second makes 14 total.

If there's something you don't get let me know.

7 0

3 years ago