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Semmy [17]
3 years ago
11

Find the measure of angle Z.

Mathematics
1 answer:
Keith_Richards [23]3 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°.

You might be interested in
The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?
liubo4ka [24]

Answer:

36 boys

Step-by-step explanation:

                                                            3

Please write the ratio as 3:5 or as  --------

                                                             5

Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.  

How many are in the club altogether?  Let this count be represented by c.  Then (5/8)c = 60.

Multiplying both sides of this equation by (8/5), to isolate c, we get:

c = (8/5)(60) = 96.  Thus, there are 96 Science students altogether.

3/8 of this number are boys.  This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

 3          b

------ = ------- , where b represents the number of boys.

  5        60

Then 5b = 180.  Dividing both sides by 5, we get b = 180/5 = 36 boys

3 0
3 years ago
The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the
ss7ja [257]
Pretty sure this one is B. that’s what makes most sense.
6 0
3 years ago
Can someone answer this question and give an explanation
Temka [501]

Answer:

48cm^2

Step-by-step explanation:

First, you can break down this shape into two different, easier to work with shapes, with dimensions of 4*9 and 6*2. You can get this by cutting the bigger rectangle into the 4*9, and then using the 6*2 left over.

After that, all you need to do it multiply and then add.

4*9 is 36, and 6*2 is 12.

36+12=48

Hope this helped!

7 0
1 year ago
Read 2 more answers
7 x (-2) = ? * what’s the answer
Karolina [17]

Hey there!

<h3>Guide: </h3>
  • Negative & negative = positive
  • Positive & negative = negative
  • Positive & positive = positive
  • Negative & positive = negative

<h3>So, far <u>in your particular question we’re doing</u> <u>positive</u> (7) <u>&</u> <u>negative</u> (-2) so <u>that means your</u> <u>result will most likely be a negative </u></h3><h3 />

<em>Now let’s answer your question, shall we </em>

<h2>7 • (-2) =<em><u> -14</u></em> </h2>

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0
3 years ago
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
statuscvo [17]

Answer:

C {14,47,50}

Step-by-step explanation:

For it to be a right triangle it would have to be {14,48,50}

Hope this helps

4 0
3 years ago
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