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Vesna [10]
1 year ago
13

Find mZXZx(5t - 13°Y(3t+ 3)

Mathematics
1 answer:
trapecia [35]1 year ago
7 0

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

undefined

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What is the value of a when we rewrite 15^x as a^x/6
jarptica [38.1K]

Answer:

a = 11,390,625.

Step-by-step explanation:

a^x/6 =  (a^1/6)^x  

(a^1/6)^x = 15^x  so:

a^1/6 = 15

1/6 ln a = ln 15

ln a = 6 ln 15

ln a = 16.2483

a = 11390625.

4 0
3 years ago
The list below shows all of the possible outcomes for flipping four coins.
djverab [1.8K]

Answer:

Each one has two possibilites, so the total is 2*2*2*2 = 16

Step-by-step explanation:

TTTT

TTTH

TTHT

TTHH

THTT

THTH

THHT

THHH

HTTT

HTTH

HTHT

HTHH

HHTT

HHTH

HHHT

HHHH

If you eliminate the duplicates, ie, the coins are identical, you get 4

TTTT

TTTH

TTHH

THHH

HHHH

5 0
3 years ago
What is the supplement of 164 degrees?
Margaret [11]
Supplements add up to 180°
so just subtract 164 from 180

 180
<u>-164
</u>   16

3 0
3 years ago
Read 2 more answers
I need help with this for my numerical analysis class! Consider the following data set: (1,2.2), (3,5), (5,5.5),(7,6.1), (10,6.6
lyudmila [28]

Answer:

  • m ≈ 8.165
  • b ≈ 2.299

Step-by-step explanation:

It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.

A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.

If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)

7 0
3 years ago
At the school track meet, Dita ran 100 meters at a rate of 6.25 meters per second.
nignag [31]

Answer:

16

Step-by-step explanation:

100/6.25=16

8 0
3 years ago
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