Answer:
△NPK≅△HBG; and △KNP≅△GHB
Explanation:
Using the given congruence statement, we can determine corresponding pieces of the triangles:
P corresponds to B; K corresponds to G; and N corresponds to H.
This means that △NKP≅△HGB, not HBG.
△KPN≅△GBH, not BHG.
△NPK≅△HBG; this is correct.
△KNP≅△GHB; this is correct.
Answer:
Hi there!
Your answer is:
x= 18
Step-by-step explanation:
3x+70=8x-20
Isolate x on left side
3x+70=8x-20
-8x -8x
-5x +70 = -20
Isolate whole numbers on right side
-5x +70 = -20
-70 -70
-5x = -90
Isolate x by dividing both sides by -5
-5x = -90
/-5
x= 18
Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
Answer:
(2x+1)(x+7)
Step-by-step explanation:
Guess and Check
(2x+7)(x+1) = 2x^2+9x+7. NOPE
(2x+1)(x+7) = 2x^2+15x+7. YES