Answer:
All the sides of a rhombus are equal and opposite sides parallel and equal.
Therefore by understanding the above we can deduce that:
7x - 4 = 5x + 4
7x - 4 + 4 - 5x = 5x + 4 + 4 - 5x (Separate all the terms with x to go to the other side of the equals sign and do the some for the constants).
7x - 5x + (4 - 4) = (5x - 5x) + 4 + 4
7x - 5x = 4 + 4
2x = 8
2x/2 = 8/2
x = 4
Answer:
Step-by-step explanation:
Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.
Given that L is the midpoint of KN an MP, hence:
KL = LN; and ML = LN
Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)
Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.
The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent
It's useful to divide out the GCF first because it makes factoring easier as the coefficients are smaller requiring less steps.
Example where you don't factor GCF first...
4*-32 = -128
numerous factor pairs for 128 ... takes time to find the correct one
right factor pair is 16,-8
substitute for 8x
4x² + 16x - 8x - 32 = 0
group then factor
4x(x+4) - 8(x+4) = 0
group again
(4x-8)(x+4) = 0
Example of factoring GCF first
4x² + 8x - 32 = 0
4 is GCF
x² + 2x - 8 = 0
factor
(x+4)(x-2) = 0
Solving for x gives the same answer just less steps and simpler math when you factor GCF first.
Answer:
Step-by-step explanation:
We first let 0.38 (8 being repeated) be T.
Since z is recurring in 1 decimal places, we multiply it by 10. 10z = 3.88
Next, we subtract them. 10 r T 3.88 0.38 9x 3.5
Lastly, we divide both sides by 9 to get IC as a fraction. 3.5 T 9 35 90 7 18
Step-by-step explanation:
the value of x = 21 degree
by linear pair :
3x + 117 = 180
3x= 63
x = 21
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