Elga's age = x
Alvin's age = x + 7
x + x + 7 = 97.
Simplify the left side of the equation
2x + 7 = 97.
Subtract 7 from each side
2x = 90.
Divide each side by 2
x = 45
Since x is equal to Elga's age, Elga is 45 years old
Answer:
4.5
Step-by-step explanation:
First we need to turn the ratio of 1 : 3 into a fraction
1:3 = 1/3
Next we need to square that fraction
1 x 1 = 1
3 x 3 = 9
Then we turn those numbers into a fraction
1/9
We turn the .5 into a fraction
.5/x
And cross multiply both fraction by each other
1/9 x .5/x
1 x X = X
9 x .5 = 4.5
So
4.5 = X
Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44, x = - 4
y = 8 - 9 , y = -1
This is a unique solution, the system is independent.
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
<em>Additional</em><em> comment</em><em>:</em><em>-</em>
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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Answer:
y = 28
Step-by-step explanation:
y = mx + b
plug in values
y = (6)(3) + (10)
multiply
y = 18 + (10)
add
y = 28