All categories

3 years ago

Need help write a proof plzz

Mathematics

1 answer:

Ivenika [448]3 years ago

8 0

Answer:

LMNO is a parallelogram

Step-by-step explanation:

In the two Δ NML and LON

∵ NM = LO ⇒ given

∵ ML = ON ⇒ given

∵ NL is a common side

∴ ΔNML ≅ ΔLON ⇒(SSS)

∴ m∠MLN = m∠ONL ⇒ in alternate position

∴ LM // ON

∵ LM = ON

∵ LM and ON are two opposite sides in quadrilateral LMNO,

they are equal and parallel

∴ LMNO is a parallelogram

You might be interested in

Solve the equation. 3/2y - 5 = -2

steposvetlana [31]

Answer:

y= 1/2 is the answer.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Math

denis-greek [22]

Answer:

$\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}$

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

7 0

2 years ago

Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu

svetoff [14.1K]

Answer:

after week 7: 4374 pennies
486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

an = 6·3^(n-1)

This can be rearranged to ...

an = 2·3^n

When n=7, the value is ...

a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

To find when there are 486 pennies saved, we can solve the equation ...

486 = 2·3^n

243 = 3^n

log(243) = n·log(3) . . . . . . . take the logarithm

log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0

3 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

3 years ago

5 b.) Bill swims 2/3 of a lap in 7 minute. What is his speed in laps per minute?

Arlecino [84]

Answer:

.095 laps per minute (if you need this answer as well 10.5 minutes per lap)

Step-by-step explanation:

(2/3)/7 =.095238 this is laps per min

7/(2/3)= 10.5 this is minutes per lap

I hope this is what you were looking for.

8 0

3 years ago