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3 years ago

Help me please !!!!!!!!

Mathematics

1 answer:

Mademuasel [1]3 years ago

6 0

Line up corresponding parts of the similar triangle to make ratios.
You need 3 parts of the 6, including one complete fraction.
Next cross-multiply to solve for the missing sides.

# 15
a/x = b/y = c/z
6/10 = 8/y
cross-multiply
6y = 8*10
6y = 80
divide both sides by 6
y = 13 1/3 or 40/3
CHECK
6/10 ??=?? 8/ (13 1/3)
.6 = .6 CHECKS

# 16
4/7 = c/5
cross-multiply
7c = 4 * 5
7c = 20
divide both sides by 7
c = 20/7
CHECK
4/7 ??=?? (20/7)/5
.5714 = .5714 CHECKS

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Sum interior angle on a regular pentagon

Sophie [7]

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

4 0

1 year ago

If m(x) = x+5/x-1 and n(x) = x — 3, have the same domain as (m • n) (x)

Yuri [45]

For this case we have the following functions:

$m (x) = \frac {x + 5} {x-1}\\n (x) = x-3$

By definition we have to:

$(f * g) (x) = f (x) * g (x)$

So:

$(m * n) (x) = m (x) * n (x)\\(m * n) (x) = \frac {x + 5} {x-1} (x-3)\\(m * n) (x) = \frac {(x + 5) (x-3)} {x-1}$

By definition, the domain of a function is given by the values for which the function is defined.

The domain of m(x) is given by all reals except 1.

The domain of n(x) is given by all reals.

While the domain of $(m * n) (x)$ is given by:

All reals, except the 1. With $x = 1$ , the denominator is 0 and the function is no longer defined.

Answer:

Domain of $(m * n) (x)$ is given by all reals except 1.

8 0

3 years ago

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5? X = negative 8 x

Ede4ka [16]

Answer:

$(A)x= -8$

Step-by-step explanation:

One-fourth x + 2 = $\frac{1}{4}x+2$

$\frac{1}{4}x+2=-\frac{5}{8}x-5$

Next, we Expand the Left hand Side by multiplying each term in the bracket by 1/4

$\frac{1}{4}x+\frac{2}{4}=-\frac{5}{8}x-5$

Bringing terms with x to the left Hand Side i.e. collecting like terms

$\frac{1}{4}x+\frac{5}{8}x=-5-2\\\\(\frac{1}{4}+\frac{5}{8})x=-7\\\\\frac{7}{8}x=-7$

On Cross multiplying

7x = -7 X 8

$x=-\dfrac{7*8}{7}\\$

x=-8

5 0

3 years ago

Read 2 more answers

What is the domain of the relation?

Thepotemich [5.8K]

Answer: $-4$

Step-by-step explanation:

Domain: x-axis

Range: y-axis

The relation graph shows the points in which the domain is located. To find the Domain, go to the point in the x-axis (the horizontal line) and note the number where the point lies. For this question, the point on the left side of the graph lies on negative four ( $-4$ ), and on the right side, the point is on 6. Therefore, the domain of this relation is negative four is greater than/equal to x is less than/equal to six. It could also be written like this: $-4\leq x\leq 6$ .