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6. Angle measurements:
x = 23
51 degrees
80 degrees
(2x + 3) = 49 degrees
8.
x = 30 degrees
3x = 90 degrees
2x = 60 degrees
x = 30 degrees
9.
x = 29 degrees
90 degrees
(2x - 2) = 56 degrees
(x + 5) = 34 degrees
Answer:
your mom
Step-by-step explanation:
Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
Learn more on word problem here;
brainly.com/question/13818690
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Answer: -4
Step-by-step explanation:
The surface area of the triangular prism is of 162 cm².
<h3>What is the surface area of a prism?</h3>
The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
- One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.
- Two right triangles, of sides 6 cm and 4 cm.
For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
More can be learned about surface area at brainly.com/question/26702574
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