Answer:- B , C and F are the right options.
Explanation:-
1. HA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.
2. HL can be a reason to show given triangles are congruent as the triangles are right triangle with equal legs and hypotenuse.
3. SAS can be a reason to show given triangles are congruent as there are two congruent sides in both triangles and included angles ∠A=∠D=90° [right angle].
4. LA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.
5. AAS cannot be a reason to show given triangles are congruent as it is not given that they have two angles common in both the triangles.
6.SSS can be a reason to show given triangles are congruent as it is shown that all the sides of one triangle is congruent to the other.
Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!
Answer:fort nite whyuyyy
Step-by-step explanation:
3 7/8 is left.
multiple 3 7/8 by 3 since there's 3 pieces cut.
then subtract 15 1/2 by 11 5/8 (the sum of the 3 boards) and you get your answer.
Answer:
The correct option C:
C) S → R: If he stays home, then it will rain.
Step-by-step explanation:
There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.
If the statement is given:
R → S: "If it rains, then he will stay home."
Then its Converse will be:
S → R: If he stays home, then it will rain.
Its Inverse will be:
∼R → ∼S: If it doesn't rain, then he won't stay home.
Its Contrapositive will be the inverse of the converse.
