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1 year ago

Geometry it's about relations within triangles. need help solving for variables

Mathematics

1 answer:

elena-14-01-66 [18.8K]1 year ago

5 0

Answer:

`18. x=9

19. x=4

20. x=25,5

21. x=3

22. x=3,5

23. x=10

Step-by-step explanation:

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Please help on b (left of c) and c !!!

vesna_86 [32]

Alrighty

remember
$(ab)^c=(a^c)(b^c)$
and
$x^\frac{m}{n}=\sqrt[n]{x^m}$
and
$(x^m)^n=x^{mn} and [tex]x^0=1$ for all real numbers x
and
$x^{-m}=\frac{1}{x^m}$

b.
$(x^5y^4)^\frac{1}{2}=((x^5)^\frac{1}{2})((y^4)^\frac{1}{2})$ =
$(x^\frac{5}{2})(y^\frac{4}{2})=(\sqrt{x^5})(\sqrt{y^4})=x^2y^2\sqrt{x}$

c.
x^0=1
so
that (x^-3y)^0=1
because exponents first in pemdas
so we are left with
x^2y^-1
$x^2y^{-1}=(x^2)(y^{-1})=(x^2)(\frac{1}{y^1})=\frac{x^2}{y}$

3 0

2 years ago

Read 2 more answers

R is inversely proportional to A. R=12 when A=1.5.<br> work out the value of R when A=5

antiseptic1488 [7]

Answer:R=3.6

Step-by-step explanation:

R=k/A

When R=12, A=1.5

12=k/1.5

k=1.5×12

k=18

To determine R when A =5

R=18/5

R=3.6

4 0

2 years ago

Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh

Sergio039 [100]

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is $3\times 21=63$ inches.

Now we need to convert 63 inches into feet.

12 inches = 1 feet

63 inches = $\frac{63}{12}$ feet = 5.25 feet.

We are also told that Maria has $\frac{3}{4}$ foot of trim left, so total length of trim would be trim used plus trim left that is $5.25+\frac{3}{4}=5.25+0.75=6$ feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = $\frac{6}{3}$ yards = 2 yards

Therefore, the length of the trim was 2 yards.

5 0

3 years ago

Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years. 1. enter an inequality that can be

Elis [28]

V = x + 4
x = neighbors age

x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5

5 0

2 years ago

Find the values of the variables in the parallelogram. The diagram is not drawn to scale. (Image is attached below)thank you in

irina1246 [14]

For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.

Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

$x=33º$

The opposite angles in a parallelogram are congruent, therefore:

$z=109º$

The sum of internal angles is 360º, therefore we have:

$\begin{gathered} 2\cdot109+2\cdot(x+y)=360\\ \\ 218+66+2y=360\\ \\ 284+2y=360\\ \\ 2y=360-284\\ \\ 2y=76\\ \\ y=38 \end{gathered}$

The value of x is 33º, the value of y is 38º and the value of z is 109º.

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9 months ago