△HES ≅ △PBN, HE = 3.9 cm, SB = 0.9 cm, and NS = 4.5 cm What is the length of ES ?

A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a

Gnom [1K]

Answer: 4 sq. in

Step-by-step explanation:

From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8

Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame

Therefore, 2(length of the vertical diagonal of 1 kite) = 8

Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches

The width of the card = 4 inches

Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4

Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same

Therefore, 2(length of the horizontal diagonal of 1 kite) = 4

Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches

Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches

So, Area of kite = pq/2

Where p and q are diagonals of kite

Area of kite = (4×2)/2

=8/2

= 4 inches square

3 0

2 years ago

Read 2 more answers

there are 49 dogs signed up for the dog show. there are 36 more small dogs than large dogs. how many small dogs are signed up fo

pogonyaev

Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.

4 0

3 years ago

Read 2 more answers

A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 p

AURORKA [14]

Answer:

Step-by-step explanation: a confidence interval is a range that shows how precise the measurement is. if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%. Also a 90 percent confidence interval would be narrower than a 95 percent confidence interval

5 0

2 years ago

Solve for m m m Please help!!!

jarptica [38.1K]

Answer:

m∠ TRS = 60° , m∠ SRW = 120°

Step-by-step explanation:

First, find x

∠TRS = ∠VRW (vertically opposite angles are equal)

x + 40° = 3x

x - 3x = -40

-2x = -40

x = -40/-2

x = 20

m∠ TRS = 60° [x + 40 = 20+40 = 60]

m∠ SRW + m∠ TRS = 180° (linear pair)

m∠ SRW + 60° = 180°

m∠ SRW = 180° - 60°

m∠ SRW = 120°

hope this helps you

6 0

2 years ago

Cheryl Wilcox is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payou

Nata [24]

Answer:

35h6j7jhtgr54y6htsrhr6wrttttwy

Step-by-step explanation:

6 0

2 years ago