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Shkiper50 [21]
4 years ago
14

In the picture below x=​

Mathematics
1 answer:
gogolik [260]4 years ago
3 0

Answer:

\displaystyle 79°

Step-by-step explanation:

The m∠x is 79°, according to the Alternate Exterior Angles Theorem.

I am joyous to assist you anytime.

* That does NOT look like an acute angle because 79° is considered an acute angle, since it is <em>less</em><em> </em><em>than</em><em> </em>90°.

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Find the requested function value.
liq [111]

<u>Given</u>:

Given that the functions f(x)=9 x+5 and g(x)=-4x^2-6x+3

We need to determine the value of the function (f \circ g)(-9)

First, we shall determine the value of the function (f \circ g)(x)

<u>The value of the function </u>(f \circ g)(x)<u>:</u>

Let us determine the value of the function (f \circ g)(x)

Thus, we have;

(f \circ g)(x)=f[g(x)]

               =f(-4x^2-6x+3)

               =9(-4x^2-6x+3)+5

               =-36x^2-54x+27+5

(f \circ g)(x)=-36x^2-54x+32

Thus, the value of the function is (f \circ g)(x)=-36x^2-54x+32

<u>The value of the function </u>(f \circ g)(-9)<u>:</u>

The value of the function (f \circ g)(-9) can be determined by substituting x = -9 in the function (f \circ g)(x)=-36x^2-54x+32

Thus, we have;

(f \circ g)(-9)=-36(-9)^2-54(-9)+32

                 =-36(81)-54(-9)+32

                 =-2916+486+32

(f \circ g)(-9)=-2398

Thus, the value of the function (f \circ g)(-9) is -2398

Hence, Option A is the correct answer.

4 0
3 years ago
HELP PLEASE!! No websites allowed please, complete 1,2,3, and 4.
Svetach [21]

Answer:

1: 31.5. 2: 5. 3: 4.6 4: 45

7 0
3 years ago
Help me.. I dont understand
svlad2 [7]
Let the amount of money shared be x
x÷(5+3+2)×3=60
x÷10×3=60
x=60×10÷3
x=200
The amount of money shared is $200

hope it helps

3 0
3 years ago
Find the perimeter of the figure.
iren2701 [21]

Answer:

below

Step-by-step explanation:

p = 2( a + b)

p = 2(24 +16)

p =80 in

p semicircle

=πr

= 3.142 *8

= 25.136

p of figure

p =80 +25.136

p=105.136 in

5 0
3 years ago
Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp
Bess [88]

Answer:

(a)  0.5948

(b ) 0.0392;  A. Yes , because the probability is less than 0.05

(c) 0.3660

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

      D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R     R

R     D

D    R

D    D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

                             =   14/18 x 13/17

                             = 0.59477

                             ≈ 0.5948

(b.) Determine the probability that both contain regular soda.

 P (both regular soda) = P (R R)

                                     =  4/18 x 3/17

                                     = 0.039215

                                     ≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.)  Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

                                    =   (4/18 x 14/17) + (14/18 x4/17)

                                    = 0.36601

                                    ≈ 0.3660

4 0
4 years ago
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