The vertex angle of on isosceles triangle measures 42 a base angle in the triangle has a measure given by 2x+3

Step-by-step explanation:

I take it that the question is What is the value of x.

... Every triangle has a measure of 180o so that is what is on the right side of the equation.

... the Vertex of an isosceles triangle has a unique value. There is only one angle with a measure of 42.

... The Base angles are equal. And there are 2 of them.

Equation

2x + 3 + 2x + 3 + 42 = 180o      

Solution

Combine like terms

2x + 2x + 3 + 3 + 42 = 180  Show the like terms as 1 term for the xs and 1 for the pure numbers on the left.

4x + 48 = 180   Subtract 48 from both sides

4x = 180 - 48    combine

4x = 132            Divide by 4

4x/4 = 132/4

x = 33

Answer

x = 33

2x + 3 = 2*33 + 3 = 69

So the three angles are

69 + 69 + 42

Check

69 + 69 + 42

138 + 42

180 as it should.

step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.