Jayden and sheridan both tried to find the missing side of the right triangle. a right triangle is shown. one leg is labeled as 7 centimeters. the hypotenuse is labeled as 13 centimeters. jayden's worksheridan's worka2 + b2 = c2a2 + b2 = c272 + 132 = c272 + b2 = 13249 + 169 = c249 + b2 = 169218 = c2b2 = 120square root 218 equals square root c squared. square root b squared equals square root 120.14.76 ≈ cb ≈ 10.95is either of them correct? explain your reasoning

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

substitute

Solve for b

we have that

Jayden's Work

substitute and solve for c

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

Sheridan's Work

substitute

Solve for b

therefore

Sheridan's Work is correct

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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