Answer:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.
Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5
Answer:
c
Step-by-step explanation:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
The graph represents the relation, but not a function.
This is relation, because it defines the rule for each some such, that the ordered pair (x,y) lies on the graph.
This is not a function, because for all input values of x (excluding x=3) we can find two different output values of y.
Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
= 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week
