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3 years ago

write the converse of the conditional statement "if a parallelogram has one right angle, then it is a rectangle

Mathematics

2 answers:

Aloiza [94]3 years ago

5 0

Answer:

hi sndjshnsbsbsbsbs sbnsnsnsnsj

LuckyWell [14K]3 years ago

3 0

I don’t understand the question

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Yeah, uhm can someone help me with this?

hram777 [196]

Answer:

-24

Step-by-step explanation:

$x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24$

8 0

3 years ago

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

3 years ago

(-3c+6) + (-c+8) simplify with a step by step please

mel-nik [20]

Step-by-step explanation:

$= ( - 3c + 6) + ( - c + 8)$

$= - 3c + 6 - c + 8$

$= - 3c - c + 6 + 8$

= -4c + 14

hence -4c + 14 is the answer ...

hope it helped !!

6 0

2 years ago

A pack of 5 book costs $18.75. A pack of 3 books $12.75. Which pack has the the lowest cost per books (hint - find the unit rate

vredina [299]

18.75÷5=3.75
12.75÷3=4.2
The pack of 5 books has the lower cost per book

4 0

3 years ago

Question 8/Multiple Choice Worth 1 points)

Hunter-Best [27]

Answer:

k = 3

Step-by-step explanation:

Given

f(x) = 0.5x

g(x) = 0.5x - k

Required

Find k

The question illustrates changing of positions of lines along the x and/or y axis;

But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.

Given that f(x) = 0.5x

and f(x) is shifted down by 3 units to give g(x); then:

f(x) - 3 = g(x)

Substitute 0.5x for f(x)

0.5x - 3 = g(x)

Recall that g(x) = 0.5x - k ---------- (given)

0.5x - 3 = 0.5x - k

Subtract 0.5x from both sides

-0.5x + 0.5x - 3 = -0.5x + 0.5x - k

-3 = -k

Multiply both sides by -1

-3 * -1 = -k * -1

3 = k

k = 3

Hence, the value of k is 3

8 0

3 years ago