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4 years ago

Problem . 4 Help anyone ? Please .

Mathematics

1 answer:

Greeley [361]4 years ago

4 0

Answer:

<U= 75°

<V=65°

x=50

Step-by-step explanation:

The interior angles to a triangle always equal 180°.

Set up your equation:

180= 40+x+15+x+25

Subtract 40 from 180 to get 140. Subtract 15 from both sides. Now you have 125. Subtract the 25 from both sides. You now have 100.

Divide the 100 by 2 to find what x is because your equation is now 100=2x

x=50

v= 50+15= 65 so V is 65°

U is 50+25 so U is 75°

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The measures of two angles are given along with the measure of the side 4 points

FrozenT [24]

Answer:

Step-by-step explanation:

Let say for example, the triangle is named ∆ABC, and the two angles given are <A and <B with a given side, c, opposite to the third angle (<C).

Since sum of triangle = 180°, we can find the third angle by saying:

m<C = 180 - (m<A + m<B).

Having found the third angle measure, <C, we can mow apply the Law of Sines to find the length of the other two sides (a and b) that are opposite to <A and <B respectively.

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3 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

What is the volume of the cube below?

jeka57 [31]

Answer:

D. 9h

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cuboid Formula: V = a²h

a is the sides of the cube
h is the height

Step-by-step explanation:

Step 1: Define

Identify variables

a = 3

h = h

Step 2: Find Volume

Substitute in variables [Volume of a Cuboid Formula]: V = 3²h
Evaluate exponents: V = 9h

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3 years ago

Read 2 more answers

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brilliants [131]

256pi
sqroot 256 = 16
16 * 2 = 32
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3 years ago

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If 55 people enrolled in a psychology course but only 25 completed it, what percent of the students completed the course? (Round

posledela

Answer:

45%

Step-by-step explanation:

Simply, 25/55 which gives you 0.454545.

Convert that to a percentage and you get 45%

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2 years ago