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3 years ago

Lines m and n are parallel lines cut by a transversal l.

Mathematics

2 answers:

Igoryamba3 years ago

5 0

Answer:

Angles 1 and 3 are congruent as vertical angles; angles 3 and 7 are congruent as corresponding angles.

Step-by-step explanation:

<1 and <3 are vertical angles because they are formed by the same lines and are opposite each other . 3 and 7 are corresponding angles because they are in the same position at each intersection where a straight line crosses two others. Since the lines are parallel, they are equal That makes 1 and 7 equal

Andrews [41]3 years ago

4 0

Answer:

B. Angles 1 and 3 are congruent as vertical angles; angles 3 and 7 are congruent as corresponding angles.

Step-by-step explanation:

We need statements that will link angle 1 and angle 7 together. Just from looking at the answer choices, we can already see that choice B is the only one that includes both 1 and 7, so that's a very possible correct answer.

Delving more deeply though, let's look at B. Angles 1 and 3 are called vertical angles and by definition, they're congruent. Also, angles 3 and 7 are called same-side angles, or corresponding angles, and again by definition, they're congruent. Thus, B gives correct reasoning to prove that since ∠1 = ∠3 and ∠3 = ∠7, then ∠1 = ∠7.

The answer is B.

You might be interested in

Find the mean of the data set: {11, 14, 11, 5, 17, 28, 3). Round to the nearest tenth.

Nuetrik [128]

Answer:

12.7

Step-by-step explanation:

Mean is total/the amount of numbers

Total: 11+14+11+5+17+28+3=89

Amount: 7

89/7=12.7142857

6 0

3 years ago

Read 2 more answers

If (x-y)^2=71 and x^2+y^2=59 what is the value of xy?

Lena [83]

Solve the equations
first one
take the sqrt of both sides
x-y=√71
add y to both sides
x=y+√71
sub y+√71 for x in other part

(y+√71)²+y²=59
y²+2y√71+71+y²=59
2y²+2y√71+71=59
minus 59 both sides
2y²+2y√71+12=0
factor out 2
2(y²+y√71+6)=0
use quadratic equation or something
y= $\frac{- \sqrt{71}- \sqrt{47} }{2}$ and $\frac{- \sqrt{71}+ \sqrt{47} }{2}$

sub those for x

x=y+√71
note: √71=(2√71)/2

x= $\frac{- \sqrt{71}- \sqrt{47} +2\sqrt{71}}{2}$ , $\frac{\sqrt{71}- \sqrt{47}}{2}$
or
x= $\frac{- \sqrt{71}+ \sqrt{47} +2\sqrt{71}}{2}$ , $\frac{\sqrt{71}+ \sqrt{47}}{2}$

xy= $\frac{\sqrt{71}- \sqrt{47}}{2}$ times $\frac{-\sqrt{71}- \sqrt{47}}{2}$ or $\frac{\sqrt{71}+ \sqrt{47}}{2}$ times $\frac{-\sqrt{71}+ \sqrt{47}}{2}$

the result is -6 both times

xy=-6

5 0

4 years ago

NEED HELP PLEASE!

USPshnik [31]

Answer:

$(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16$

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

$i^2 = -1$

Square of the sum:

$(x + y)^2 = x^2 + 2xy + y^2$

In this question:

$(x + (3+5i))^2$

$x^2 + 2x(3+5i) + (3+5i)^2$

$x^2 + 6x + 10xi + 9 + 30i + 25i^2$

$x^2 + 6x + 9 + (10x+30)i - 25$

$x^2 + 6x + (10x+30)i - 16$

$(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16$

5 0

3 years ago

2) m_A = 68°, c = 27, b = 25

V125BC [204]

Hi, what’s your question?

7 0

3 years ago

Pls help due in 10 minutes!!!

Luden [163]

Answer:

$\sf 500,000,000,000=5 \times 10^{11}$

$\sf 0.00000000005=5 \times 10^{-11}$

Step-by-step explanation:

Scientific notation

$\large\boxed{a \times 10^n}$

where:

$1\leq a < 10$

$n$ is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is $n$ .

If the decimal point has moved to the left, $n$ is positive.
If the decimal point has moved to the right, $n$ is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point 11 places to left, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is positive.

$\implies \sf 500,000,000,000=5 \times 10^{11}$

To convert 0.00000000005 into scientific notation, move the decimal point 11 places to the right, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is negative.

$\implies \sf 0.00000000005=5 \times 10^{-11}$

Learn more about scientific notation here:

brainly.com/question/28235385

8 0

2 years ago

Read 2 more answers