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2 years ago

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

Mathematics

2 answers:

Igoryamba2 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]2 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.

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What is x divided by -6

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Answer:

-x/6+0

Step-by-step explanation:

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3 years ago

8. Bir sınıftaki öğrenciler sıralara ikişerli oturduğunda 3 öğrenci

Mrrafil [7]

Answer:

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2 years ago

The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of

mixer [17]

The answer is 11.25 mm.

A diameter of a circle is twice of its radius: d = 2r ⇒ r = d/2

small circle large circle
radius: r1 radius: r2 = ?
diameter: d1 = 15 mm
⇒ r1 = d1/2 = 15/2 mm

Since the ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
 $\frac{r1}{r2}= \frac{2}{3}$

We know that r1 is 7.5, so let's implement it:
 $\frac{7.5}{r2} = \frac{2}{3}$

Let's multiply both sides of the by 3r2:
$3r2* \frac{7.5}{r2} =3r2* \frac{2}{3}$
⇒ $3 * 7.5 = 2*r2$
$22.5 = 2*r2$
⇒ $r2= \frac{22.5}{2} =11.25 mm$

5 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME WITH THIS????????????????

Lerok [7]

$\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\$

$A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}$

4 0

3 years ago

Solve the equation using square roots. 2x^2-98=0

Yuliya22 [10]

Step-by-step explanation:

2x²-98=0

2x²=98

x²=98/2

x²=49

x=root 49

so,x=7

if it is correct answer then please follow me

3 0

3 years ago