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3 years ago

In the isosceles triangle ABC

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

x = 4.5

Step-by-step explanation:

Angle B = angle C because it is an isosceles triangle.

3x32 = 87-2x

96 = 87-2x

reduce:

9 = 2x

x = 4.5

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What is the x-intercept of the line with this equation 13x+y=−15 ? Enter your answer in the box. ( , 0)

Nastasia [14]

Answer: The required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$

Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :

$13x+y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.

Substituting y = 0 in equation (i), we get

$13x+y=--15\\\\\Rightarrow 13x+0=-15\\\\\Rightarrow 13x=-15\\\\\Rightarrow x=-\dfrac{15}{13}.$

Thus, the required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$

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