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Stells [14]
3 years ago
8

b is the midpoint of ac, d is the midpoint of ce, bd=3x, and ae=60. find tye length of ab if ac= 5x+10

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

AB = 30 units.

Step-by-step explanation:

Given that in a triangle ACE, B and D are mid points of AC and CE respectively.

By triangle theorem for mid points, we have

BD = 1/2 AE

Since AE is given as 60, we get BD =30

But BD also equals 3x (given)

So 3x=30 or x =10

Substitute in AC to get AC = 5x+10 = 5(10)+10 = 60

AB = 1/2 AC = 1/2 (60) = 30 units.

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Answer:

They can suffer from a lot of stress and their relationships won't last.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Standard form- 12 ten thousands, 8 thousands,14 hundreds,7 ones
Whitepunk [10]
129,407 because 12 ten thousands=120,0008 thousands= 8,00014 hundreds= 1,400No tens=07 ones=7
5 0
3 years ago
If 6-x=2(x-6) what is the value of x? need steps!!
V125BC [204]
6 - x = 2(x - 6)

the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
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8 0
3 years ago
Read 2 more answers
. 1. A consistent system of equations is a system with __________.. . the same line. . parallel lines. . intersecting lines and
madreJ [45]

A consistent system of equations is a system with intersecting lines and lines that have the same equation.

A consistent system is the system of equations with at least one solution or infinite number of solutions.

So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.

The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.

3 0
3 years ago
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
vivado [14]

The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

4 0
2 years ago
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