Answer:
- 16
Step-by-step explanation:
following the rules as set out in PEMDAS
4² - 2(3 × 5 + 1) ← evaluate exponent term
= 16 - 2(3 × 5 + 1) ← evaluate multiplication inside parenthesis
= 16 - 2(15 + 1)
= 16 - 2(16) ← perform the multiplication
= 16 - 32 ← evaluate subtraction
= - 16
<u>Answer:</u>
Ayden solved 18 maths problems and read 36 pages
<u>Explanation:</u>
Let x represent the number of maths problems Ayden solved
y represent the number of pages he read
According to the question,
3x + 1y = 90
y = 2x as no. of pages he read is twice the number of math problems
Substituting,
3x + 2x = 90
Solving for x, x = 18
So, Ayden solved 18 maths problems
Putting the value in equation y = 2x,
y = 36
So, Ayden read 36 pages
<span>The <u>correct answers</u> are:
B) many triangular shapes can be inscribed in a given circle; and
D) exactly one circle can be circumscribed about a given triangle.
Explanation<span>:
One of our geometric theorem states that for any 3 non-collinear points, exactly one circle can be drawn through it. This explains answer D; the non-collinear points would be the vertices of the triangle, and only one circle can be drawn through those points (circumscrbied about the triangle).
For B, we can have many triangles inscribed in a circle; the differences in the measures of the angles used will create the different triangles.</span></span>