<u>Answer:</u>
Perimeter = 20 units
x = 120°
<u>Step-by-step explanation:</u>
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
The isosceles triangle is missing so i have attached it.
Answer:
Length of unknown side = 5p + 6
Step-by-step explanation:
In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.
Thus,the second equal side is also 5p + 3.
Now, perimeter of a triangle is the sum of the three sides.
We have two sides and let the third side be denoted as x.
Thus;
Perimeter = (5p + 3) + (5p + 3) + x
We are given perimeter = 15p + 12
Thus;
(5p + 3) + (5p + 3) + x = 15p + 12
10p + 6 + x = 15p + 12
Rearranging, we have;
x = 15p - 10p + 12 - 6
x = 5p + 6
Answer:
The ratios in the simplest form is 5:3
Step-by-step explanation:
Given that:
2.5m to 150cm
We have to express these ratios in simplest form but we will convert the quantities into same unit first.
Therefore,
Converting meters into centimeters
1 meter = 100 cm
2.5 m = 100*2.5 = 250 cm
Ratio form;
250 cm : 150 cm
As both the number are multiples of 50,

Hence,
The ratios in the simplest form is 5:3
<h2>○=> <u>Correct option</u> :</h2><h2>

</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :

Let us solve that equation to find the value of p and the two angles :







Thus, value of p = 43
Measure of angle (p+7)° :


Measure of angle (3p+1)° :



Thus, the measure of the larger angle = 130°
Therefore, the correct option is <em>(a) 130</em>