Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
Answer:
From the given, we establish this relationship:
RS + ST = RT
RS = ST since S is the midpoint of RT
Thus, let's use RS = ST to find x,
By substituting the given expressions:
RS = ST
8x + 11 = 14x - 1
12 = 6x
x = 12/6
thus,
x = 2
Answer:
a = 9 / 7
step by step explanation:
9 / - a + 15 = 8
Determined the defined range
9 / ( - a ) + 15 = 8 , a ≠ 0
subtract 15 from each side
9 / - a + 15 - 15 = 8 - 15
calculate the difference
9 / - a = - 7
multiply both side of equation by - a
9 / - a × - a = - 7 × - a
9 = 7 a
divide each side by of equation by -7
9 / 7 = 7 a / 7
9 / 7 = a
swap the side of equation . ( optional )
a = 9 / 7
Step-by-step explanation:
-26a-19-35=-84
-26a-19+(19)-35=-84+(19)
-26a-35=-65
-26a-35+(35)=-65+(35)
-26a=-30
-26a/26=-30/26
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
