ANSWER: y=x-8
EXPLANATION:
Answer:
Step-by-step explanation:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°
QUESTION 10:
- The long edge of the paper is 11 inches long
- The frame is 4 long edges long
4 times 11 = 44 inches.
Now for the feet calculation!
- 1 foot = 12 inches
44 inches divided by 12 inches is 3 2/3 feet.
RESULT:
Cameron's poster frame is 44 inches long and 3 2/3 feet (OR 3.66666667 feet).
QUESTION 11:
- First, convert 3 yards into feet.
- 1 yard = 3 feet
- 3 yards = 9 feet
- 9 feet plus 2 feet = 11 feet.
- Converting feet into inches means multiplying the number of feet by 12 (since every foot has 12 inches)
-11 feet times 12 = 132 inches.
RESULT:
Use my explanation to determine that 3 yards and 2 feet = 132 inches.
<span>The <u>correct answer</u> is:
576 sq. cm.
Explanation:
The surface area of a figure is the sum of the areas of the faces of the figure.
The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.
The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.
There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.
The area of the base is given by length times width, or 12*12 = 144 sq. cm.
This gives us a total surface area of 432+144=576 sq. cm.</span></span>