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Nezavi [6.7K]
3 years ago
15

A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of x.

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104

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Question Progress
Anastaziya [24]

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

4 0
3 years ago
In the figure, angle 4 is an exterior angle to angle AUL.
Whitepunk [10]

The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.

<h3>Exterior angles of a triangle</h3>

The sum of interior angles is equal to the exterior. From the given figure;

Interior angles are 25 degrees and 52 degrees.

The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.

2) <4 = 25 + 52

<4 = 77 degrees

Hence the measure of angle 4 is 77 degrees

Learn more on exterior angles here: brainly.com/question/2546141

#SPJ1

6 0
2 years ago
PLEASE HELPP!!!! I’m sorry if you can’t read it well.
Gnom [1K]
Given that y=kx
After substituting any of the given values, we will get constant k as -0.75 or -3/4
So the answer is B. -3/4
3 0
3 years ago
They are selling lollipops for $0.50 and candy bars for $1.50
VARVARA [1.3K]
Answer: $12.00

If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00
3 0
3 years ago
Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating platform:
Murrr4er [49]

Answer: A is correct

Step-by-step explanation: I took the test and I got 100

4 0
3 years ago
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