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grigory [225]
3 years ago
9

B is the midpoint of AC and d is the midpoint of ce BD = 3x, and AE = 60. Find the length of AB if AC = 5x + 10.

Mathematics
2 answers:
ratelena [41]3 years ago
8 0
Ab=30 with a scale factor of 2:1
Cloud [144]3 years ago
3 0

Answer:

The length of AB is 30 units.

Step-by-step explanation:

Given B is the midpoint of AC and D is the midpoint of CE.

BD = 3x, AE = 60 and  AC = 5x + 10

we have to find the value of AB.

As B is the mid point of AC and D is the mid-point of CE.

By mid-point formula, the length of line joining the mid-points of two sides of triangle is half of the parallel side.

∴ BD=\frac{1}{2}AE

⇒ 3x=\frac{1}{2}\times 60

⇒ x=10units

As, B is the mid-point of AC

⇒ AB=\frac{1}{2}AC=\frac{1}{2}(5x+10)=\frac{1}{2}(5(10)+10)=30units

The length of AB is 30 units.

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Answer:

y = -x + 2

Step-by-step explanation:

[slope-intercept form] y = mx + b

m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁

b [y-intercept] = (0,b) → x = 0.

If y = 2 when x = 0, b = 2.

Since y decreases by 1 unit everytime x increases by 1 unit

a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.

So a decrease of -1 over an increase of 1

is -1/1 = -1 = m.

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A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
Leno4ka [110]
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3 years ago
PLEASE HELP!!!! The two points shown below (-2,-4) (3,-4)are reflected across the x-axis. Then, the four points are connected to
Allisa [31]

Answer:

26 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is reflected across the y axis, the new point is A'(x, -y).

The reflection of the point (-2,-4) across the x axis gives (-2, 4) while the reflection of (3, -4) gives (3, 4)

The distance between (-2, -4) and (-2, 4) is the length while from (-2, -4) to (3, -4) is the breath. Hence:

Lengthth=\sqrt{(-2-(-2))^2+(-4-4)^2}=\sqrt{64}=8\\  \\Breadth=\sqrt{(-2-3)^2+(-4-(-4))^2}=\sqrt{25}=5

Perimeter of rectangle = 2(length + breath) = 2(8 + 5) = 2(13) = 26 units

7 0
4 years ago
3/4 + n = 1/2 help me pls
Nata [24]

Answer:

n=-1/4

Step-by-step explanation:

3 0
3 years ago
3/2-5/6-2/9<br><br> WILL GIVE BRAINLIEST THANKS AND 5 STARS FOR THE 1ST CORRECT ANSWER
Serga [27]

Answer:

4/9

Step-by-step explanation:

It’s basic math UwU

4 0
3 years ago
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