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Akimi4 [234]
3 years ago
13

How do I solve problem 10?

Mathematics
1 answer:
Grace [21]3 years ago
6 0

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

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Evaluate the expression, using the given value of the variable.
Bond [772]
4-2x+5x=\ \ \ \ | grouping\ numbers\\\\
4+3x\ \ \ \ | substitute\ x=4\\\\
4+3*4=4+12=16\\\\
Answer\ is\ C.
8 0
3 years ago
Infinite over E n=1 4(0.5)^n-1
yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}

We can also write in summation notation rather S-term as:

\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0
2 years ago
At a certain clothing store, the clothes are displayed on racks. The clothes on each rack have similar prices but the prices amo
vekshin1
Answer: Stratified Random Sample
Hope this helps ʕ•ᴥ•ʔ
4 0
2 years ago
SOMEONE ANSWER THESE PLEASE!!
Svetradugi [14.3K]
Answer:
1). Because whole number doesn’t allow decimal numbers.

2). Because whole number doesn’t allow negative numbers. It starts with 0, 1, 2, 3....
7 0
3 years ago
What is the value of x in the figure below? In this diagram, △ABD~△CAD.
morpeh [17]

<u>Given</u>:

Given that the triangles ABD and CAD are similar.

The length of AB is 12.

The length of BD is x.

The length of AC is 27.

We need to determine the value of x.

<u>Value of x:</u>

Let us use the leg rule to determine the value of x.

Thus, we have;

\frac{BC}{AB}=\frac{AB}{BD}

Substituting the values, we get;

\frac{27}{12}=\frac{12}{x}

Cross multiplying, we get;

27x=12\times 12

27x=144

Dividing both sides by 27, we have;

x=\frac{16}{3}

Thus, the value of x is \frac{16}{3}

Hence, Option D is the correct answer.

7 0
2 years ago
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