Answer:
Greater than.
Step-by-step explanation:
Let the original value be x.
A 50% increase in x is given by
x + 50%x
=> x + 0.5x
=> 1.5x
Followed by a 33
% decrease in the value gives:
1.5x - 33
%(1.5x)
=> 1.5x - 0.33(1.5x)
=> 1.5x - 0.495x
=> 1.005x
Since 1.005x is greater than the original value, x, then:
A 50% increase followed by a 33
% decrease gives a value that is greater than the original.
Hi there!
To find your answer, simply sub in the point and the slope into y-y1=m(x-x1) for y1, x1 and m!
m=-8
point: (1,-8) use this point for x1 and y1
y+8=-8(x-1)
Therefore your equation is y+8=-8(x-1)
Hope this helps!
Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.
Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
Find out more on congruent triangle at: brainly.com/question/1675117
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