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emmasim [6.3K]
3 years ago
6

The difference of a number and thirty-six is seven. Algebraic expression

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

x-36=7

Step-by-step explanation:

x-36=7

x=36+7

x=43

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Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of <em>x</em> as follows:

<em>x</em>° + <em>x</em>° + 90° = 180°

2<em>x</em>° = 90°

<em>x</em>° = 45°

Compute the length of side AP as follows:

cos\ 45^{0}=\frac{AP}{CA}

      \frac{1}{\sqrt{2}}=\frac{AP}{5}

     AP =\frac{5}{\sqrt{2}}\\\\AP=3.5

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

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Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

============================================

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

============================================

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

============================================

Problem 14

Answers: complement = 50, supplement = 140

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