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anzhelika [568]
1 year ago
6

Given the figure below, find the values of x and z. X= Z= (11x - 93) H 116 X

Mathematics
1 answer:
Marrrta [24]1 year ago
6 0

Answer:

x = 19

z = 64

Step-by-step explanation:

Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.

11x - 93 = 116

11x = 209

x = 19

Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°

z + 116 = 180

z = 64

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yaroslaw [1]

A. (For Claire’s gross income) is 3,725.

B. (For Tina’s net income) is 2,100.

D. (For Jie’s net income) is 48.6, or 243/5.

8 0
3 years ago
A turtle laid 70 eggs and 9/15 hatched how many did not hatch
slavikrds [6]

Answer:

<h2><u>28 eggs did not hatch.</u></h2>

Step-by-step explanation:

<h3>1) Calculate 9/15 of 70 eggs. </h3>

\frac{9}{15}  × 70

= \frac{630}{15}

= 42

<h3>2) To calculate how many eggs <u>DID NOT</u> hatch, we should subtract 42 from 70.</h3>

70 - 42 = 28

<u>28 eggs did not hatch.</u>

<em>Hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>

6 0
3 years ago
Matt wants to purchase a gasoline motor scooter. The gas mileage 75 miles for each 1/2 gallon of gasoline. How many miles will M
Paraphin [41]

Answer: 750 miles

Step-by-step explanation:

The gas mileage is 75 miles per 1/2 gallon of gasoline.

First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

4 0
3 years ago
Evaluate log 2 base 8​
iren2701 [21]

Answer:  The correct answer is:  " 3 " .

_______________________________

Step-by-step explanation:

_______________________________

The problem given is:

_______________________________

Evaluate:  log 2 base 8 .

_______________________________

Rewrite as:  " log_2}8 = ? _______________  " ;  log_2}8 = ? _______________

_______________________

Take note of the following definition of a logarithm:

_______________________

"   log_{m}n = a " ;  ↔  " m^{a} =n  "  ;

_______________________

in which:  m  refers to the "base" ;

               n  refers to the "argument" ;

               a  refers to the "exponent" ;

______________________________

As such:

       " log_2}8 = ? _______________ "

      ⇔ " 2^{x} = 8 " ; Solve for "x" ;  

 _______________

 Note:  

  2⁰ = 1 ;

  2¹ = 2 ;

  2² = 2 * 2 = 4 ;

  2³ = 2 * 2 * 2 = 8 .

___________________

 → " 2^{x} = 8 " ;

 → " 2^{3} = 8 " ;  since: " 2^{3} = 2  *2 *2 = 8 " ;

 → as such:   " x = 3  " ;

______________________

Thus:

"log 2 base 8 " ;

          = log{_{2}}8 = 3  .

_______________________

Hope this helps!

Best wishes to you!

3 0
3 years ago
Lorenzo needs to run 13 1/2 miles this week to meet his goal for his training plan. so far this week he has run 3 1/2 miles on m
Viefleur [7K]

Answer:5 more miles

Step-by-step explanation:

6 0
2 years ago
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