Answer:
<h2>
( 2 , - 3 )</h2>
Step-by-step explanation:
Using elimination method:
2x - y = 7
3x + y = 3
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5x = 10
Divide both sides of the equation by 5
Calculate
Now, substitute the given value of X in the equation
3x + y = 3
Multiply the numbers
Move constant to R.H.S and change it's sign
Calculate
The possible solution of this system is the ordered pair ( x , y )
<h3>
( x , y ) = ( 2 , -3 )</h3>
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Check if the given ordered pair is the solution of the system of equation
Simplify the equalities
Since all of the equalities are true, the ordered pair is the solution of the system
<h3>
( x , y ) = ( 2 , - 3 )</h3>
Hope this helps..
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Answer:
∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF
Step-by-step explanation:
Given that triangles ABC and DEF are congruent. Now we need to choose correct congruency statements from the given choices.
We know that corresponding angles of congruent triangles are equal so we can write:
∠A ≅ ∠D
∠B ≅ ∠E
∠c ≅ ∠F
We know that corresponding sides of congruent triangles are equal so we can write:
AB = DE
BC = EF
AC = DF
comparing these with given choices we see that, First choice is correct.
Answer:
x-2x = -3 and x = 3
Step-by-step explanation:
Given the expression
y=x+5.... 1
y-2x=2.... 2
Substituting the first equation into the second we will have;
From 2;
y -2x = 2
x+5-2x = 2
x-2x +5 = 2
x-2x = 2-5
x-2x = -3
-x =-3
x =3
Hence the required equation is x-2x = -3 and x = 3
Answer:
Since p value <0.1 accept the claim that oven I repair costs are more
Step-by-step explanation:
The data given for two types of ovens are summarised below:
Group Group One Group Two
Mean 85.7900 78.6700
SD 15.1300 17.8400
SEM 1.9533 2.3840
N 60 56
Alpha = 10%
(Right tailed test)
The mean of Group One minus Group Two equals 7.1200
df = 114
standard error of difference = 3.065
t = 2.3234
p value = 0.0219
If p value <0.10 reject null hypothesis
4) Since p value <0.1 accept the claim that oven I repair costs are more
