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valentina_108 [34]
2 years ago
14

If an isosceles triangle ABC has a vertex B, and AB=6×+3, BC BC=8x-1, and AC=10x-10, find x

Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Using the given information, the value of x is 2

<h3>Calculating the length of the leg of an isosceles triangle</h3>

From the question, we are to determine the value of x

From the given information,

The isosceles triangle ABC has its vertex at B

If the vertex is at B, then we can conclude that

AB = BC (<em>Legs of an isosceles triangle are equal a</em>)

Also, from the given information,

AB = 6×+3

BC = 8x-1

Thus,

6x + 3 = 8x - 1

Collect like terms

3 + 1 = 8x - 6x

4 = 2x

2x = 4

∴ x = 4/2

x = 2

Hence, the value of x is 2

Learn more on Isosceles triangle here: brainly.com/question/18640272

#SPJ1

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Solve the system of equations. <br><br> {y=x^2+9<br> {y=6x
adoni [48]
<span><span> {y,x} = {7,2}</span>  </span>System of Linear Equations entered :<span><span>  [1] y - 6x = -5 </span><span>  [2] y + x = 9 </span></span>Graphic Representation of the Equations :<span> -6x + y = -5 x + y = 9
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6 0
4 years ago
In triangle ABC, find B, to the nearest degree, given a=7, b=10, and C is a right angle.
7nadin3 [17]

Answer:

Option D is correct i.e angle B is 55°

Step-by-step explanation:

Given In triangle ABC,  a=7, b=10 and angle C is a right angle.

we have to find the angle B.

As given triangle is right angled triangle,

∴ we can apply the formula of trigonometric ratios to find the angle B

tanB=\frac{AC}{CB}=\frac{10}{7}

⇒ B=tan^{-1}(\frac{10}{7})=0.96 radian=55.0079^{\circ}\sim55^{\circ}

Hence, angle B is 55°

Option D is correct.

5 0
3 years ago
What condition renders this true, where S and T are sets?
daser333 [38]

Answer:

There are no sets S, T for which

S \cup T^c=S^c\cap T

holds

Step-by-step explanation:

Let the set A be

A=S\cup T^c

By de De Morgan's Law

A^c=S^c\cap ((T)^c)^c

But

((T)^c)^c=T

A^c=S^c\cap T

We conclude that

S \cup T^c=S^c\cap T\Rightarrow A=A^c

which is a contradiction because no set is equal to its complement.

3 0
3 years ago
I need the solutions
MAXImum [283]

Answer:

(-1, -2)

Step-by-step explanation:

The solution is the intersection, which is at (-1, -2)

4 0
3 years ago
Danica has a -$23 balance in her bank account. She gets paid $40 for cutting grass and immediately up deposit. How much money do
salantis [7]

Danica has -$23, but deposits $40

Add the two numbers

40 + (-23) = 40 - 23 = 17

Danica has $17 in her bank.

hope this helps

3 0
3 years ago
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