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3 years ago

Polygon EFGH is a reflection of ABCD. Which of the following angle are congruent

Mathematics

2 answers:

Allisa [31]3 years ago

8 0

Angle B and F, the second option

melomori [17]3 years ago

5 0

Answer:

B) ∠B and ∠F

Step-by-step explanation:

Here the polygon ABCD reflected over the y-axis and got the polygon EFGH.

When the polygons are reflected the measure of angles will not be changed and only the coordinates will be changed.

Here polygon ABCD is reflected over y-axis. So only the sign of the x -coordinate will change.

Let's see them.

A = (3, -1) ---> E = (-3, -1)

B = (5, -3) ---> F(-5, -3)

C = (4, -6) ----> G(-4, -6)

D = (1, -4) ----> H(-1, -4)

You can see the only x coordinate's sign changed.

Therefore, The ∠B and ∠F is true.

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natta225 [31]

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3 years ago

Help PLZ WILL GIVE BRAINLIEST!!!! What is the value of x?

VladimirAG [237]

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3 years ago

The linear equation y = mx + b contains the point (4, -2) and is perpendicular to the

xenn [34]

A linear equation is represented as: $y = mx + b$ .

The equation of the line is: $y =3x - 14$

First, we calculate the slope (m) of $6x + 18y = 11$

Make y the subject

$18y = -6x + 11$

Divide by 18

$y = -\frac{1}{3}x + \frac{11}{18}$

In $y = mx + b$

$m \to$ slope

So, the slope of $y = -\frac{1}{3}x + \frac{11}{18}$ is:

$m = -\frac 13$

Since, the line is perpendicular to $6x + 18y = 11$

The slope of the line is:

$m_1 = -\frac{1}{m}$

So, we have:

$m_1 = -\frac{1}{-1/3}$

$m_1 = 3$

The line passes through (4,-2).

So, the equation is:

$y =m(x - x_1) + y_1$

This gives:

$y =3(x - 4) -2$

$y =3x - 12 -2$

$y =3x - 14$

Hence, the linear equation is:

$y =3x - 14$

Read more about at:

brainly.com/question/11897796

7 0

3 years ago

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$