All categories

2 years ago

3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is

Mathematics

1 answer:

madam [21]2 years ago

3 0

Answer:

ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

AB = CD

2x +1 = 3x -11

12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

You might be interested in

How are key features of a linear function identified and interpreted from a table, equation, and description?

Morgarella [4.7K]

Answer:

y=mx+b

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

8. Find the measure of the indicated angle. Round to the nearest

Yuri [45]

Answer:

relationship between base and hypotenuse is given by cos angle

let angle be ø

cos ø=b/h

cosø=28/34

ø=cos-¹(28/34)=34.5°

5 0

2 years ago

The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o

Mademuasel [1]

The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and (10, –4).

Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = 12 units.

The area of triangle PQR is108 square units.

4 0

3 years ago

Read 2 more answers

The number of flaws per square yard in a type of carpet material varies with mean 1.4 flaws per square yard and standard deviati

oksian1 [2.3K]

According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:
$\frac{\sigma}{ \sqrt{n} }=\frac{1.2}{ \sqrt{178} }=0.09$
The z-score for 1.5 flaws per square yard is:
$z=\frac{1.5-1.4}{0.09}=1.11$
The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.

6 0

3 years ago

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg: c = a + 8

Use the Pythagorean Theorem:

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

Factors to:

(a-12)(a+4) = 0

a = 12, -4

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

6 0

3 years ago