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3 years ago

What is the measure of X, in degrees?

Mathematics

2 answers:

amm18123 years ago

7 0

Answer:

Step-by-step explanation:

z = y Both are opposite equal sides

z = 70 From the first statement.

y = 70 Given

x = 180 - z - y A triangle has 180 degrees

x = 180 - 70 - 70

x = 40

Viefleur [7K]3 years ago

6 0

Answer:

A. 40°

Step-by-step explanation:

∠Z=∠Y (base ∠ of isosΔ)

= 60°

∠X=180-60-60(∠ sum of Δ)

=40°

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If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?

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A video club wants to reward its best members with a discount based on the member’s number of movie rentals and the number of ne

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public class MovieRental

{

public static void main(String[] args)

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3 years ago

What are the coordinates of the vertex of the parabola with the equation y = x + 2x - 3?

loris [4]

Answer:

<em>The coordinates of the vertex are (-1,-4).</em>

Step-by-step explanation:

<u>Equation of the Quadratic Function </u>

The vertex form of the quadratic function has the following equation:

$y-k=a(x-h)^2$

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We are given the function:

$y=x^2+2x-3$

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2 years ago

In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh

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Answer:

$Salary = Rs23000$

Step-by-step explanation:

Given

$Shopping = \frac{1}{5}$

$Sister = \frac{2}{5}R$

$Left over = Rs11,040$

Required

Her salary in that month

Given that she spent $\frac{1}{5}$ of her salary on shopping, this implies that she has $\frac{4}{5}$ of her salary left

From what's left, she gave her sister $\frac{2}{5}$

This means she gave her sister $\frac{2}{5} * \frac{4}{5}$

Sister = $\frac{8}{25}$

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$Left over = 1 -Shopping - Sister$

$Left over = 1 - \frac{1}{5}- \frac{8}{25}$

$Left over = \frac{25 - 5 - 8}{25}$

$Left over = \frac{12}{25}$

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$\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}$

$Salary = Rs11,040 * \frac{25}{12}$

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Hence, her salary for that month was Rs23000

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[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x + 5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x + 4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x + 4)( x + 5 )] =
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