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4 years ago

What is a congruency statement

2 answers:

6 0

If two angle in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, angle A = angle D, angle B = angle E, and AB = DE, then triangle ABC is congruent to triangle DEF.

leva [86]4 years ago

4 0

A congruency statement is a two geometrical figure that congruent if all the lengths in one figure are equal to the corresponding lengths in the other figure

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Plastic edging for flower beds comes in 50-foot rolls and costs $6.85 per roll. What is the cost to completely edge two rectangu

Klio2033 [76]

Answer:

The cost of edging the flower beds with roll is $41.10.

Step-by-step explanation:

Given,

dimension of rectangular flower bed :

length = 40 ft

width = 15 ft

dimension of circular flower bed :

diameter = 16 ft

cost of each roll = $6.85

We need to find the cost of roll used to cover completely rectangular and circular flower bed.

Solution,

Firstly we will find out the perimeter of the rectangular flower bed.

Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.

framing in equation form, we get;

Perimeter = $2(40+15)=2\times55=110\ ft$

So the perimeter of 2 flower bed = $2\times110 =220\ ft$

Again we will find out the circumference of the circular flower bed.

And we know that the circumference of the circle is equal to pi multiplied with the diameter.

framing in equation form, we get;

Circumference = $\pi\times16=50.24\ ft$

Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.

Total edge = $220+50.24=270.24\ ft$

Here also given that Plastic edging for flower beds comes in 50-foot per roll.

So we will find out the number of rolls required for edging.

For this we will use the unitary method.

50 ft = 1 roll

270.24 ft = number of roll

$\therefore number\ of\ rolls = \frac{270.24}{50}=5.40$

so we can say that there will be 6 rolls required for edging.

also given the cost of 1 roll is $6.85.

So the cost of 6 rolls = $6\times6.85=\$41.10$

Hence The cost of edging the flower beds with roll is $41.10.

6 0

3 years ago

What is 5745 divided by 66

murzikaleks [220]

The answer is 87.0454545

7 0

3 years ago

Read 2 more answers

Please help with this I’m not really sure what their trying to ask

LekaFEV [45]

Step-by-step explanation:

I'm not sure if I'm correct but I think that the difference is that op goes from left to right on the line so it's positive and po goes from right to left so it's negative. Hope I'm correct

8 0

3 years ago

Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving five t

Natalija [7]

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

$p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}$

∴

$p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}$

$p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }$

$p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }$

$p(4) = \dfrac{5*1 }{210}$

p(4) = 0.0238

p(4) = 2.38%

3 0

4 years ago

What is the positive solution of x2 – 36 = 5x?

Wewaii [24]

Answer:

Required positive solution of the given quadratic equation is 9.

Step-by-step explanation:

Given Equation,

x² - 36 = 5x

We need to find positive solution of the given equation.

We solve the given quadratic equation using middle term split method.

x² - 36 = 5x

x² - 5x - 36 = 0

x² - 9x + 4x - 36 = 0

x( x - 9 ) + 4( x - 9 ) = 0

( x - 9 )( x + 4 ) = 0

x - 9 = 0 and x + 4 = 0

x = 9 and x = -4

Therefore, Required positive solution of the given quadratic equation is 9.

4 0

3 years ago