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Elan Coil [88]
2 years ago
7

Find Equivalent Expression

Mathematics
1 answer:
____ [38]2 years ago
7 0

Answer:

2x+2

Step-by-step explanation:

hello :

1/2 (4x + 4) =(1/2) (4x + (1/2) (4) = 2x+2

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Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

3 0
3 years ago
Someone pls help me.
nydimaria [60]
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!
3 0
3 years ago
there are 8 students at each of 4 rounds of tables in the cafeteria. there are 64 students at long tables. use the bar model to
Tomtit [17]

Step-by-step explanation:

there should be at least

4 0
2 years ago
Select the correct answer from each drop down menu.
Artemon [7]

Answer:  Jenna could use a IRA for her retirement and for her child's education it's a 529 plan

Step-by-step explanation:

6 0
3 years ago
1 - 4 + 2x + 4= 13<br><br> What does 'x' equal?<br><br> Please give reasonable answer
ella [17]
X = 6 
CMON MAN THIS IS 5th GRADE MATH!!

7 0
2 years ago
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