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Finger [1]
3 years ago
10

Work out the size of angle x

Mathematics
2 answers:
snow_lady [41]3 years ago
7 0

Answer:

x = 117°

Step-by-step explanation:

First, find the angle the supplements angle 101°.

Using the supplementary angle (angles that add up to 180°).

180° - 101° = 79°

We now have two interior angles inside the triangle, 38° and 79°.

A triangle's total angle measures 180° in total.

So,

? + 38° + 79° = 180°

? + 117° = 180

? = 180° - 117°

? = 63°

Now like the first step we did, use the supplementary angle theorem to find x.

x + 63° = 180°

x = 180° - 63°

x = 117°

kompoz [17]3 years ago
6 0

Answer:

x = 117 degrees

Step-by-step explanation:

A triangle has 180 degrees in total.

A straight line is also 180 degrees in total.

180 - 101 = 79

Angles inside the triangle

79 + 38 = 117

180 - 117 = 63

63 degrees is the missing angle

x = 180 - 63

x = 117

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Replace ∗ with a monomial so that the derived expression may be represented as a square of a binomial: * +14b+49
anyanavicka [17]

Answer:

  * = b²

Step-by-step explanation:

You know that the square of a binomial is of the form ...

  (x + y)² = x² + 2xy + y²

Matching given terms, we have ...

  49 = y²

  2xy = 14b

Solving the first of these relations for y, we have

  y = √49 = 7

Putting that in the second relation and solving for x, we find ...

  2x·7 = 14b

  14x = 14b

  x = b

Then the first term of the expansion, x², will be b².

The missing term is b².

7 0
3 years ago
Mr. Smith baked 144 blueberry pies, some strawberry pies, and some apple pies. The number of apple pies is 4\5 of the number of
Leviafan [203]
B = 144
a = 4/5s
s = a + 24

s = 4/5s + 24
5/5s - 4/5s = 24
1/5s = 24
s = 24 * 5
s = 120

a = 4/5s
a = 4/5(120)
a = 480/5
a = 96

blueberry pies = 144
total of all pies = 144 + 120 + 96 = 360

percent of blueberry pies is : 144/360 = 0.40 = 40% <==

6 0
3 years ago
Read 2 more answers
Bill is making accessories for the soccer team. He uses 838.95 inches of fabric on headbands for 32 players and 3 coaches. He al
creativ13 [48]

There was 23.29 inches used on a headband for each player.

And 8.54 inches used on a wristband for each player.

To find out how much fabric for headbands and would beused for each player/person you would do

So, if you substitute the values in it is

And finally, to find how much fabric is used on a wristband for each player/person you would use the same formula.

7 0
2 years ago
What number pattern is generated by the following
jenyasd209 [6]

Answer:

nth term = 1 + n(13/4)

Step-by-step explanation:

3n + n/4 + 1

n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4

n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4

n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4

n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4

The difference between consecutive terms is 13/4

At n = 1, 17/4 = 1 + 1(13/4)

At n = 2, 30/4 = 1 + 2(13/4)

nth term = 1 + n(13/4)

3 0
3 years ago
The temperature in Berlin is -7 °C and the temperature in Istanbul is -3 °C.
Orlov [11]

Answer:

(a) is 4*C and (B) is 16*C

5 0
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