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2 years ago

Alternate Interior Angles Theorem a. b. c. Corresponding Angles Flow Proof a. b. c. d. e. Proof Diagram a. b. c.

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

4 0

Answer:

Step-by-step explanation:

(1). m∠5 = 40° → (a) Given

m∠2 = 140° → (b) Given

∠5 and ∠2 are supplementary angles → (c) Interior angles on the same side of the transversal.

∠5 and ∠2 are the same side interior angles → (d) Both angles are supplementary

a║b → (e) By interior angles theorem of the parallel lines.

(2). Statements Reasons

1. l║n 1. Given

2. ∠2 ≅ ∠6 2. Corresponding angles

3. ∠4 ≅ ∠2 3. Vertical angles

4. ∠6 ≅ ∠4 4. Transitive property of equality

(3). Statements Reasons

1. ∠1 ≅ ∠5 1. Given

2. ∠4 ≅ ∠1 2. Vertical angles

3. ∠4 ≅ ∠5 3. Alternate interior angles

4. p║r 4. Definition of parallel lines

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1/2(2g-3)=-4(g+1) show work

xz_007 [3.2K]

1/2(2g−3)=−4(g+1)
1/2(2g−3)=−4(g+1)
g+−3/2=−4g−4
g+−3/2+4g=−4g−4+4g5g+−32=−4
5g+−3/2+3/2=−4+3/2

5g=−5/2
5g/5=−525
g=−12

Hoped I helped!

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2 years ago

Circle sector type question with figure.

igomit [66]

Can’t help if there’s no figure

4 0

2 years ago

Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

2 years ago

What is 24 devided by 10

Artist 52 [7]

Answer:

2.4

Step-by-step explanation:

24/10=2.4

3 0

2 years ago

What is the surface area of the triangular prism?

Bas_tet [7]

Answer:

135 ft^2.

Step-by-step explanation:

The total surface area

= 2 * area of the triangular sides + area of the 3 rectangular sides

= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5

= 135 ft^2.

4 0

2 years ago