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3 years ago

The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

x=33

Each base angle measures 69 degrees

Step-by-step explanation:

the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2

= 69 degrees

2x + 3 = 69

2x = 66

x = 33

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a parallelogram has vertices E(-3,1) F(0,2) G(-5,5) and H(-2,6) what are the coordinates of te midpoint of each diagonal

sesenic [268]

in parallelogram EFGH

the mid point of diagonal EG is

(-3-5)/2,(1+5)/2=(-4,3)

similarly the midpoint of diagonal FH is

(0-2)/2,(2+6)/2=(-1,4)

4 0

3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

lubasha [3.4K]

Answer:

The answer is option C.

Step-by-step explanation:

The arithmetic sequence is given by

$A(n) = - 6 + (n - 1)( \frac{1}{5} )$

where n is the number of terms

For the first term

n = 1

So we have

$A(1) = - 6 + (1 - 1)( \frac{1}{5} )$

$= - 6 + (0)( \frac{1}{5} )$

$= - 6$

For the fourth term

n = 4

$A(4) = - 6 + (4 - 1)( \frac{1}{5} )$

$= - 6 + (3)( \frac{1}{5} )$

$= - 5 \frac{2}{5}$

For the tenth term

n = 10

$A(10) = - 6 + (10 - 1)( \frac{1}{5} )$

$= - 6 + (9)( \frac{1}{5} )$

$= - 4 \frac{1}{5}$

Hope this helps you

4 0

3 years ago

Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.

IceJOKER [234]

Answer is 12

I hope this helps enough

7 0

3 years ago

12. Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6

elena-s [515]

2x-6y=24
-5x+6y=-6

2x=24+6y
2x-24=6y
-5x+6y=-6
6y=5x-6
2x-24=5x-6
-24+6=5x-2x
-18=3x
-18/3=x
x=-6
2x-6y=24
2(-6)-6y=24
-12-6y=24
-6y=24+12
-6y=36
y=36/-6
y=-6

7 0

3 years ago

Use the row of numbers shown below to generate 12 random numbers between 01 and 99. 11097, 51877, 41665, 78465, 79932, 54899, 72

Nikolay [14]

The suitable numbers are:

11 09 75 18 77 41 66 57 84 65 79 93

Step-by-step explanation:

The random number line is used to generate random numbers between the given range

As the numbers have to be chosen between 01 to 99, two digit pairs will be made.

Every time a pair is chosen, it is checked whether it falls in the range or not. If it falls in the range, it is selected otherwise the number is ignored.

So,

Given random number line is:

11097, 51877, 41665, 78465, 79932, 54899, 72970, 71789

The pairs will be:

11 09 75 18 77 41 66 57 84 65 79 93 25 48 99 72 97 07 17 89

Hence,

The suitable numbers are:

11 09 75 18 77 41 66 57 84 65 79 93

Keywords: Random number line, statistics

Learn more about random number line at:

#LearnwithBrainly

8 0

3 years ago