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3 years ago

Given: p || q, and r || s.

Mathematics

2 answers:

MariettaO [177]3 years ago

8 0

Answer:

Statement: ∠6 ≅ ∠14

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Step-by-step explanation:

In the figure attached, a plot of the problem is shown.

Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.

Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.

From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.

storchak [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

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Identifying the slope, y-intercept and x- intercept of each

Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

$\frac{(0)-(3)}{(2)-(1)}$

Simplify;

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

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

$y = mx + b$

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

$y=-3x+b$

Substitute in point (3, -3)

$-3=-3(3)+b\\-3 = -9 + b\\6 = b$

4 0

3 years ago

A ladder that is 6 meters long leans

alexira [117]

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

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3 years ago

if a guy has $145 .00 in his hand, and he wants to give some to 2 friends how much is left in his hand

Mariulka [41]

$145.00/2=
$72.5
I hopes this helped

7 0

3 years ago

Read 2 more answers

we have 4 1/2 cups of chocolate chips. a batch of our madison cookies requires 3/4 cup of chocolate chips. how many batches can

My name is Ann [436]

Answer:

You can make 6 batches of cookies.

Step-by-step explanation:

3/4 + 3/4 = 1 1/2 (2)

1 1/2 + 1 1/2 = 3 (4)

3 + 1 1/2 = 4 1/2 (6)

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3 years ago

What is the value of x?

Alexus [3.1K]

Answer:

x = 22.5

Step-by-step explanation:

$\frac{BH}{DH} = \frac{HM}{HT} \\ \frac{6}{15 + 6} = \frac{9}{9 + x} \\ \frac{6}{21} = \frac{9}{9 + x} \\ 6(9 + x) = 9 \times 21 \\ 54 + 6x = 189 \\ 6x = 189 - 54 \\ 6x = 135 \\ x = \frac{135}{6} \\ x = 22.5$

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3 years ago