Answer:
Slope = 1.500/2.000 = 0.750
a-intercept = 0/3 = 0.00000
b-intercept = 0/-4 = -0.00000
Step-by-step explanation:
Notice that when a = 0 the value of b is 0/-4 so this line "cuts" the b axis at b=-0.00000
b-intercept = 0/-4 = -0.00000
When b = 0 the value of a is 0/3 Our line therefore "cuts" the a axis at a= 0.00000
a-intercept = 0/3 = 0.00000
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 0.000 and for a=2.000, the value of b is 1.500. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 1.500 - 0.000 = 1.500 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Answer:
n=2
Step-by-step explanation:
⁴/5n-¹/5=²/5n
first we remove the denominators by multiplying all the numbers with their lcm
Lcm of 5n and 5 is 5n thus:
(5n×⁴/5n)-(¹/5×5n)=²/5n×5n
4-n=2
4-2=n
n=2
<h3>confirmation</h3>
insert 2 insted of n
⁴/5(2)-¹/5=²/5(2)
⁴/10-¹/5=²/10. simplify
²/5-¹/5=¹/5
¹/5=¹/5
so the correct value of n is 2
The congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
<h3>What is
congruence theorems?</h3>
Congruence theorems is one that explain that in a case whereby three sides of two triangles are equal to another, we can say they are congruent to each other.
From the given figure, there are two angles as well as one non-included side which is seen to be a congruent.
According to LA theorem , a triangle is congruent in a case whereby, leg as well as an acute angle of one right triangle of two right triangles are congruent to each other.
AAS theorem also explains that incase two angles and any of the side of a triangle are congruent to each other , the triangles are congruent.
Therefore, with these theorem, congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
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Answer:a)72tft/s
b)1296ft
c)6.998seconds
d)2.472seconds
e)219.99ft
Step-by-step explanation:see attachment