RT equals RS plus ST
8x - 43 = 2x - 4 + 4x - 1
Simplify: 8x - 43 = 6x - 5
Bring variables to one side: 8x - 6x = -5 + 43
2x = 38
Divide both sides by 2:
x = 19
Calculate QS as twice RS:
QS = 2 * RS = 2 * (2x - 4) = 2 * (2*19 - 4) = 2 * 34 = 68
Exponent notation is 10^2 square feet, and in words it is one hundred square feet.
Answer:
Kelvin miscalculated and wrote 60 incorrectly.
He should have calculated $30.65 minus 60% instead of using 0.60.
The accurate final equation is:
$30.65 - 60% = 12.26
The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.
112°.
The explanation step-by-step: As trapezoid RSTU has congruent diagonals, it qualifies as an Isosceles Trapezoid. A defining property of Isosceles Trapezoids is that the base angles are equivalent. Therefore, if angle S measures 112°, angle U must also measure 112°.
