What is the value of x? Enter your answer in the box. x =

By using the given information in the diagram, the value of x is 20.

Step-by-step explanation:

From looking at the diagram, the triangles appear to be similar. This means that they are going to have the same ratios between each side.

We are given two measurements on one side of the triangle, 11 and 121. We can find the ratio of these sides by dividing 121 by 11.

121 ÷ 11 = 11

So, the ratio between the two triangles is 11 which means that the ratio for the rest of the sides of the triangle is going to have a ratio of 11. Knowing this, we can turn this into a equation to find the value of x.

Cross multiply the terms.

1210 = 55x + 110

Subtract 110 from both sides of the equation.

1210 - 110 = 55x + 110 - 110

1100 = 55x

Divide 55 from both sides of the equation.

1100/55 = 55x/55

20 = x

So, the value of x is 20.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq