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Alborosie
3 years ago
13

The measure of an angle is 56°. What is the measure of its supplementary angle?

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

Step-by-step explanation: Supplemenatry equal 180 degrees so if you know one find the other

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Available is 23 cm taller than Olivia is half the height of Luca. If lucas is 1.77m tall, how tall are available and Olivia? Exp
Elden [556K]

Answer:

available is 111.5cm tall and Olivia is 88.5cm

Step-by-step explanation:

ok so Olivia is half the height of Luca which means the height of Luca divided by 2

177÷2=88.5

so Olivia is 88.5cm tall

we know that Available is 23cm taller than Olivia which means

the height Available= the height of Olivia+ 23cm

=88.5+23

=111.5

so Available is 111.5cm tall

5 0
2 years ago
Read 2 more answers
Given m||n, find the value of x and y.
Elina [12.6K]

Answer:

x = 18 , y = 45

Step-by-step explanation:

The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.

Same- side interior angles sum to 180° , then

6x + 7 + 4x - 7 = 180 , that is

10x = 180  ( divide both sides by 10 )

x = 18

Then

6x + 7 = 6(18) + 7 = 108 + 7 = 115

6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so

3y - 20 = 115 ( add 20 to both sides )

3y = 135 ( divide both sides by 3 )

y = 45

4 0
2 years ago
An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line.How many different ways can they sit if the elf and the dwa
Oksana_A [137]

Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

6 0
2 years ago
Find the size of angle XYZ.<br>Give your answer to 1 decimal place.<br>Z<br>13 cm<br>x<br>Y<br>4 cm​
Rzqust [24]

Answer:

<h2><em>7</em><em>2</em><em>.</em><em>9</em><em>°</em></h2>

<em>sol</em><em>ution</em><em>,</em>

<em>tan \: y \:  =  \frac{13}{4}  \\ y =  {tan}^{ - 1}  ( \frac{13}{4} ) \\ y = 72.9</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

7 0
3 years ago
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Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
2 years ago
Read 2 more answers
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