Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram<span> bisect each other. Each </span>diagonal of a parallelogram separates it into two congruent triangles.<span> A square has got 4 sides of equal length and 4 right </span>angles<span> (right </span>angle<span> = 90 degrees). Since ALL the </span>angles<span> in a</span>quadrilateral add up<span> to 360 then 360 divided by 4 must be 90.</span>
Answer:
Erin gets £90
Step-by-step explanation:
Ratio = 5 : 2 : 7
Money with Erin = 5x
Money with Faye = 2x
Money with Sachin = 7x
Faye gets £90 less than Sachin
7x - 2x = 90
5x = 90
x = 90/5
x = 18
Money with Erin = 5*18 = 90
Answer: Option 3
Step-by-step explanation: Option (3) is correct.The surface area of a rectangular prism of given dimension is 170 square inches.Step-by-step explanation:Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.We have to find the surface area of a rectangular prism of given dimension.Since a rectangular prism whose base is 5 inches by 6 inchesThat is length (l)= 5 inches Width (w) = 6 inches and height (h) = 5 inches.Also . Substitute, we have,simplify , we have,surface area of a rectangular prism = 170 inches²Thus, the surface area of a rectangular prism of given dimension is 170 square inches
<h3>
Answer: x = 19.7 (choice C)</h3>
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Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
- opposite = vertical leg = 8
- adjacent = horizontal leg = unknown
- hypotenuse = x
The hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
That should be 125i. If you have a graphing calculator you should be able to just enter it into the calculator to solve lol
