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scZoUnD [109]
2 years ago
8

The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find

the measure of the vertex angle.
Mathematics
1 answer:
lukranit [14]2 years ago
5 0

Answer: The measure of the vertex angle = 80°

Step-by-step explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=\dfrac{210}{14}=15'

Then, vertex angle = 6(15)-10=90-10= 80

Hence, The measure of the vertex angle = 80°

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If there are 25 students in a class and 13 are girls, what is the ratio of boys to girls? Is the relationship, part to part, par
Alexeev081 [22]
12 to 13 is the ratio.
3 0
3 years ago
Determine whether the relation describe c as a function of w.
Delicious77 [7]

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

5 0
3 years ago
which identifies all the integer solutions of |x| = 14?  A.–14 and 14  B.14 only  C.–14 only  D.0 only
NemiM [27]
|x|=14\ \ \ \Leftrightarrow\ \ \ (x=14\ \ \ or\ \ \ x=-14)
7 0
2 years ago
In accounting, a company's gross profit rate measures how well the company controls cost of goods sold to maximize gross profit.
postnew [5]

Answer:

<h2><em>$960,000</em></h2>

Step-by-step explanation:

The gross profit rate of the company is expressed as P = \dfrac{S - C}{S} where C is the cost of goods sold and S is the net sales. If the net sales S = $1,200,000, and gross profit ratio is 0.20, the cost of goods sold will be expressed as shown;

Making C the subject of the formula from the expression given.

P = \dfrac{S - C}{S}\\\\cross \ multiply\\\\SP = S-C\\\-C = SP-S\\\\C = S -SP\\

Substituting P = 0.20 and S = $1,200,000 into the resulting equation, we will have;

C = $1,2000,000 - 0.2($1,2000,000)\\C = $1,2000,000- 240,000\\ C = 960,000

<em>Hence the cost of goods sold is $960,000</em>

<em></em>

6 0
3 years ago
Felicia bought a watch for $149 she puts $50 down if she pays $9 each week how long will it take felicia to pay off her watch?
Troyanec [42]

Answer:

11 weeks

Step-by-step explanation:

She bought the watch for $149

And paid $50 immediately.

She has $149-$50 left, which gives $99

If she pays $9 each week,

In two weeks, she would be paid $9+$9=$18

In three weeks $9+$9+$9=$27 then it will take her 99/9 weeks to pay off the watch

99/9

It will take her $11 to pay off the watch

8 0
3 years ago
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