Given:
<span>∠SRT ≅ ∠STR,
m∠SRT = 20,
m∠STU = 4x
Since </span>∠SRT ≅ ∠STR, then m∠STR = 20.
m∠STR + m∠STU = 180°
20 + 4x = 180
4x = 180 - 20
4x = 160
4x/4 = 160/4
x = 40
The value of x is 40.
I hope this is what you're looking for.
Answer:
y=6/5x+2
Step-by-step explanation:
1.find the slope(m)
m=y2-y1/x2-x1
m=14-(-4)/10-(-5)
m=14+4/10+5
m=18/15
m=6/5
y-y1=m(x-x1)
y-(-4)=6/5(x-(-5))
y+4=6/5(x+5)
y+4=6/5x+30/5
y=6/5x+30/5-4
y=6/5x+10/5
y=6/5x+2
Answer:

Step-by-step explanation:
In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is

Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success.
denotes the number of combinations and its formula is:

At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.




Round to three decimal places: P=0.369
Answer
given,
thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
X = U[0.95,1.05] 0.95≤ x ≤ 1.05
the cumulative distribution function of flange
F(x) = P{X≤ x}=
=
b) P(X>1.02)= 1 - P(X≤1.02)
= 
= 0.3
c) The thickness greater than 0.96 exceeded by 90% of the flanges.
d) mean = 
= 1
variance = 
= 0.000833
Answer:
x = 10
Step-by-step explanation:
Since the parallelograms are similar then the ratios of corresponding sides are equal , that is
= ( cross- multiply )
6x = 60 ( divide both sides by 6 )
x = 10
Step-by-step explanation: