The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.
<h3>Word problems</h3>
According to the task content;
- The total distance covered running and cycling per day is; 20miles
- Additionally, she cycles a total of 105 miles each week.
From the statement above; it follows that;
The number of miles she cycles per day since 7 days make a week is;
Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.
On this note, it follows that;
Hence, The solution is 5, which represents the number of miles she runs each day.
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The value of x in the congruent triangles abc and dec is 1
<h3>How to determine the value x?</h3>
The question implies that the triangles abc and dec are congruent triangles.
The congruent sides are:
ab = de
bc = ce = 4
ac = cd = 5
The congruent side ab = de implies that:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
Evaluate the like terms
3x = 3
Divide through by 3
x = 1
Hence, the value of x is 1
Read more about congruent triangles at:
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<u>Complete question</u>
Two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is 4x - 1, side bc is 4, side ac is 5. in triangle cde, side cd is 5, side de is x + 2, side ce is 4. If Δabc ≅ Δdec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192
Answer:
At most Mr.Gengel can cut at most 13 pieces with half a foot left.
A Probability near 1 Indicates an Unlikely Event . I'm Guessing
