Answer:
QS=SR ( being PS median of triangle PQR,psㅗQR)
<QPS=<SPR (Median PS bisects the angle P)
HOPE THIS WILL HELP YOU...!
Answer:
μ = 1.3468
Step-by-step explanation:
Given data:
Observations
0.85
0.88
0.88
1.06
1.09
1.12
1.29
1.31
1.42
1.49
1.59
1.62
1.65
1.71
1.76
1.83
sum of the observations = 21.55
now,
the total number of the given data, n = 16
now, the mean is given as:
Mean = (Sum of all the observation) / (Total number of observations)
on substituting the values in the above formula, we get
Mean = 21.55 / 16
or
Mean = 1.3468
Since, it is given that the data follows normal distribution.
thus, the normal mean can be used as the point of estimator (μ)
i.e μ = 1.3468
1.
a
y = 5/2x - 3...slope = 5/2
5x = 2y - 4
2y = 5x + 4
y = 5/2x +2...slope = 5/2
both equation has same slope = 5/2 so the lines are parallel
b.
2x + 8y = -24
8y = -2x - 24
y = -1/4x - 3...slope = -1/4
48y = -12x -144
y = -1/4 -3...slope = -1/4
both equation has same slope = -1/4 so the lines are parallel
c.
2x-7y = -56
7y = 2x +56
y =2/7x + 8...slope = 2/7
7x +2y = 8
2y = -7x + 8
y = -7/2x + 4...slope = -7/2
first equation has slope = 2/7 and 2nd equation has slope = -7/2...so the lines are perpendicular
2.
A. y = 13
B. y = -2/3x - 2/3 ....slope = -2/3
C. 4x-7y = 56
7y = 4x - 56
y = 4/7x - 8 ...slope = 4/7
D.2x - 4y = -10
4y = 2x +10
y = 1/2x + 5/2....slope = 1/2
------------------------------------------------------
A line perpendicular to -3x + 2y = 8
-3x + 2y = 8
2y = 3x +8
y = 3/2 x +4 ....slope = 3/2
This answer is B
.............................................
a line parallel to 2y -x = 2
2y = x +2
y = 1/2x + 1 ...slope = 1/2
This answer is D
..............................
a line perpendicular to x = -13
answer is A. y = 13
-------------------------------------------
a line parallel to 16x = 28y so
y = 16x/28
y =4/7x ...slope = 4/7
This answer is C
Answer:
√136 units
Step-by-step explanation:
We are given that;
- The provided triangle is a right triangle.
- The measure of the legs are 6 and 10 units.
- The hypotenuse of the right triangle is x units.
Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.
<h3>What is the pythogoras theorem and it's formula?</h3>
Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;
- Two side lengths (Legs)
- A hypotenuse (Longest side)
Pythogoras theorem is denoted as;
Where, "c" is the hypotenuse; "b" and "a" are the legs.
When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;
Now, let's simplify the equation to determine the value of "x".
- ⇒ (x)² = 100 + 36 [Evaluating the squares]
- ⇒ (x)² = 136 [Simplifying the right-hand-side]
- ⇒ √(x)² = √136 [Taking square root both sides]
- ⇒ x = √136 ≈ 11.66 units (2 d.p) [Taking square root both sides]
The measure of the missing side is √136 units.
Learn more aobut pythogoras theorem: brainly.com/question/14056085
Answer:
I think the answer is $246.00
Step-by-step explanation:
