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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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What is 4 over 15 plus negative 7 over 45
IgorLugansk [536]

Answer:

If what I think youre saying is correct, then it should be 1/9

Step-by-step explanation:

4/15 + (-7/45)

Multiply both numerator and denominator of 4/15 by 3 so that the denominator becomes 45 to match the other fraction.

12/45 + (-7/45)

As the fraction on the right side is negative, it is taken away from the left fraction, hence:

(12 - 7)/45

Therefore, with simple subtraction,

5/45

Simplify to 1/9

8 0
2 years ago
A meteor crater is 4000 feet in diameter. approximate the distance around the crater.
Troyanec [42]

9514 1404 393

Answer:

  12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

  C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

  (12,566 ft)/(5280 ft/mi) ≈ 2.38 mi

The distance around the crater is about 12,566 ft or 2.38 miles.

3 0
2 years ago
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0
3 years ago
Patsy found a top on the clearance rack marked 60% off the original price. If the original price is $48, how much will Patsy sav
Arlecino [84]
If the top is $48 and it is 60% off you will multiply the cost by the decimal form of the sale percentage: 48*0.60= $28.80. This is the amount she will save and I think is the answer you are looking for.

If there is a follow up question asking for the final cost of the top you would find that by subtracting the amount saved from the original cost: 48.00-28.80=$19.20.
5 0
3 years ago
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Which of the following shows the solution for the system of linear equations? y = 2x – 3
damaskus [11]

the correct answer is 3/5

4 0
3 years ago
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