Answer:
y = -2/5x + 3
Step-by-step explanation:
Start with your given:
2x + 5y = 15
Isolate y:
5y = -2x + 15
Divide 5 on both sides:
y = -2/5x + 3
Hope that helped. Hang in there! :)
Answer:
15.86%
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Percent of area between the mean and 0.20 standard deviations from the mean:
pvalue of Z = 0.2 subtracted by the pvalue of Z = -0.2
Z = 0.2 has a pvalue of 0.5793
Z = -0.2 has a pvalue of 0.4207
0.5793 - 0.4207 = 0.1586
So this percentage is 15.86%
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.
A right angled triangle is a triangle with one angle equals to 90°.
Statement Reason
∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right
angle triangle.
PQ = ST Given
PR ≅ RT Since R is the midpoint of PT, hence PR = RT
ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.
the Side-angle-side triangle congruence theorem
states that if two sides and an included angle of
one triangle is equal to two sides and an included
angle of another triangle, then the two triangles
are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR
Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle is 180 degrees.
90 + 2x - 2 + x + 5 = 180 degrees.
Combine like terms.
3x + 93 = 180
Subtract 93 from both sides.
3x = 87
Divide both sides by 3
x = 29
The answer is 4 because 1 6/8 + 2 3/8 =4 1/8 so it would round to 4
