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Semmy [17]
4 years ago
11

Find the measure of angle Z.

Mathematics
1 answer:
Keith_Richards [23]4 years ago
5 0

<u>Answer:</u>

Angle Z = 117°

<u>Step-by-step explanation:</u>

We are given a figure with a triangle with two known angles and one unknown angle. That unknown angle further extends to form a straight line and we are to find that exterior angle z.

We know that the sum of all three angles of a triangle is 180°. So the third unknown angle of the given triangle will be = 180 - (45 + 72) = 63°.

We also know that angles on one side of a straight line always add to 180°.

Therefore, angle z = 180 - 63 = 117°.

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Nadia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned $288 in commission.
Tresset [83]

Answer:

a)The total amount of her  weekly stock sales  = $7,200

b) The total amount of her yearly stock sales  = $350,000

Step-by-step explanation:

(a)  Let us assume that the total a mount of her sales in a week  = $m

      Commission earned in a week = $288

      Now, 4 % of her total sales  = $288

      or, 4% of ($m)  = $288

    ⇒\frac{4}{100}  \times  m = 288

     or, m = \frac{288 \times 100}{4}   = 7,200

     ⇒ m = $7,200

Hence, the total amount of her  weekly stock sales  = $7,200

b)  Let us assume that the total amount of her sales in a year  = $k

     The total amount of commission earned  = $14,000

Now, 4 % of her total sales  = $14,000

      or, 4% of ($k)  = $14,000

    ⇒\frac{4}{100}  \times  k = 14,000

     or, k = \frac{14,000 \times 100}{4}   = 350,000

     ⇒ k = $350,000

Hence, the total amount of her yearly stock sales  = $350,000

8 0
3 years ago
Consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)
malfutka [58]

Answer:

f(x) = x^2

g(x) = 4*x^2​

=> For a value of x, the g(x) is 4 times larger than f(x).

=> g(x) is the stretched version of f(x) with stretched ratio = 4).

=> Option D is correct

Hope this helps!

:)

3 0
3 years ago
Read 2 more answers
Solve x+ 7 &lt; 4<br> Help ASAP please
vlabodo [156]

Answer:

Step-by-step explanation:

x + 7 < 4

x < 4 - 7

x < -3

7 0
3 years ago
A movie theater sold 1200 tickets and made $6400 in one night. If an adult ticket costs $7 and a children's ticket costs $3, how
ExtremeBDS [4]
So the total number of movie tickets sold was 1200. This means that a + c = 1200 because a represents the number of adult tickets purchased and c represents the number of child tickets purchased. The total money they made off the movie was $6400. This means 7 multiplied by the number of adult tickets would result in the total they earned off adult tickets, and 3 multiplied by the number of child tickets would result in the total they earned off child tickets. This total equals 6400. So 7a + 3c = 6400. These are our two equations: a + c = 1200 and 7a + 3c = 6400. The answer choice that matches this is choice A, so your answer is A. Hope this helps. Feel free to ask more questions, or ask more questions about my explanation.
6 0
3 years ago
Read 2 more answers
How do I solve this
svetoff [14.1K]

Step-by-step explanation:

1st triangle

BA = DC

<C = <D

<E is mutual, so it means that the triangles are almost the same. so the other angles are equal to each other by the rules of triangle.

<B = <D

6 0
3 years ago
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