MATHEMATICS HIGH SCHOOL

Choose Yes or No to tell whether there is more than one way to draw a triangle with the given measures. AB = 15 cm, BC = 20 cm, ∠B = 40° AB = 20 cm, AC = 15 cm, ∠C = 40° BC = 10 cm, AB = 5 cm, ∠A = 20° AC = 5 cm, BC = 10 cm, AB = 14 cm

Answers

Answer 1

Answer:

Question:

a. AB = 15 cm, BC = 20 cm, ∠B = 40°

b. AB = 20 cm, AC = 15 cm, ∠C = 40°

c. BC = 10 cm, AB = 5 cm, ∠A = 20°

d. AC = 5 cm, BC = 10 cm, AB = 14 cm

Answer:

The correct options are;

a. No

b. Yes

c. Yes

d. No

Step-by-step explanation:

a. AB = 15 cm, BC = 20 cm, ∠B = 40°

The above dimensions include two sides and an included angle, therefore, the triangle is well defined, such that the dimensions of the third side can be found by the given information using cosine rule

b. AB = 20 cm, AC = 15 cm, ∠C = 40°

Yes,

The above dimensions include two sides and a non included angle, therefore, the triangle is not well defined, such that the third side and the other two angles can be made to to make up to a different triangular configuration can be made

c. BC = 10 cm, AB = 5 cm, ∠A = 20°

Yes

The above triangle could be made into one of two triangles

d. AC = 5 cm, BC = 10 cm, AB = 14 cm

The above triangle is well defined with all side dimensions known and the angles can be found by cosine rule.

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What is the equation of the line written in general form?a. -3x - y + 2 = 0
b. 3x - y - 2 = 0
c. 3x + y - 2 = 0

Answers

i think its b or c but my best guess would be b

Final answer:

The equation in general form of a line is Ax + By + C = 0. Option a, -3x - y + 2 = 0, is already in general form.

Explanation:

The equation of a line can be written in different forms, such as point-slope form or slope-intercept form. The general form of a line, also known as the standard form, is given by Ax + By + C = 0. To determine the equation in general form, we need to rearrange the given equation.

Option a: -3x - y + 2 = 0. This equation is already in general form.

Option b: 3x - y - 2 = 0. To convert this equation to general form, we add 2 to both sides: 3x - y = 2.

Option c: 3x + y - 2 = 0. To convert this equation to general form, we subtract 2 from both sides: 3x + y = 2.

Therefore, option a (-3x - y + 2 = 0) is already written in general form.

Learn more about General form of a line here:

brainly.com/question/32815307

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Y = - 7/6x + 1 Use the slope-intercept form to find the slope and y-intercept.

Answers

Answer:

slope = - $(7)/(6)$ , y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = - $(7)/(6)$ x + 1 ← in slope- intercept form

with slope m = - $(7)/(6)$ and y- intercept c = 1

$\dotfill$

Answer & Step-by-step Explanation

We're given the following equation to work with.

$-\!\!\!-\!\!\!-\!\!\!\! > \qquad\boldsymbol{\sf{y=-\cfrac{7}{6}x+1}}$

We need to find the slope and the y-intercept.

The slope is the number in front of x, and the y-intercept is the constant term.

Therefore,

$\bf{Answers=\begin{cases}\sf{Slope: -7/6}\n\sf{y-intercept:1}\end{cases}}$

◈ ⋆ ◈ ⋆ ◈ ⋆ ◈ ⋆

Note: This way of finding the slope only works for slope-intercept form. Slope-intercept is $\sf{y=mx+b}$ where m is the slope and b is the y-intercept.

◈ ⋆ ◈ ⋆ ◈ ⋆ ◈ ⋆

$\frak{-dream-}$

Sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable

Answers

because it is way to low even looking at it u can tell that it will still be in double diets

-- 20.9 is roughly 30.

-- 2.9 is roughly 3.

-- If Sue started with 30 and subtracted 3 from it, she would have 27.

-- 1.8 is nowhere near 27. It's not a reasonable answer.

(Actually, 20.9 - 2.9 = 18 . So you can see where maybe she got her
digits from, but she made some kind of bad mistake in handling them.)

Y'all I need help it's on Plato PLS HELP
what's the answer

Answers

Answer:

Step-by-step explanation:

The easiest way to explain slope is the units up between each point on the line, divided by the units across. For this graph:

(-5,-6) and (0,4)

(y2 - y1) / (x2-x1)

4-(-6) = 4+6 = 10

0-(-5) = 0+5 = 5

10/5 = 2

Hope this helped!

Diameter is 3.14961 inches what is the circumference

Answers

$d=3.14961\ in\n\nThe\ formula\ of\ the\ circumference:\n\nC=d\pi\n\nsubstitute:\n\nC=3.14961\pi\ in\approx9.89479\ in$

A spinner with 8 equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a black slice?

Answers

if all 8 is equal then then it would be a chance of 1/8

Answer:

answer 3/4

Step-by-step explanation:

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