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2 years ago

Given: Quadrilateral ABCD is a kite.

Mathematics

2 answers:

Leni [432]2 years ago

8 0

Answer:

Step-by-step explanation:

One

The definition of a kite.

Two

Perpendicular. The diagonals meet at right angles

Three

I don't know if the term is still used, but when I first learned this material (many years ago) we called it the reflexive property.

Four

You found out that <AED = <CED which established that both are right angles. The problem is, you do not have enough information to prove SAS.

AAS is never a dependable reason for proving anything conguent.

HL is really your only choice.

Dimas [21]2 years ago

4 0

Answer:

1 kite.

2 Perpendicular.

3 Reflexive

4HL

These are correct according to my math.

Step-by-step explanation:

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in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does

Lostsunrise [7]

Answer:

22 counselors

Explanation:

1. Ratio of campers to counselors in june:

number of campers: 325

number of counselors: 26

Ratio = number of campers / number of counselors

Ratio = 325 campers / 26 counselors

2. Ratio of campers to counselors in july:

number of campers = 325 - 265 + 215 = 275

number of counselors = x (unknown)

Ratio = 275 campers / x

3. Equivalent ratios:

325 campers / 26 counselors = 275 campers / x

Solve for x:

x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0

1 year ago

Round 2.1349 to the nearest hundredth. Explain in your own words why you round the number the way you do. Use a number line to s

zhenek [66]

Answer:

2.13

Step-by-step explanation:

because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0

3 0

1 year ago

Read 2 more answers

There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i

iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0

1 year ago

if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the rang

AURORKA [14]

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

7 0

2 years ago

Read 2 more answers

A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

sergiy2304 [10]

Answer:

The t-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

$CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}$

Here,

$\bar x_{d}$ = sample mean of the difference,

$s_{d}$ = sample standard deviation of the difference,

n = sample size (both samples are of same size).

$t_{\alpha/2, (n-1)}$ = critical value of t

(n - 1) = degrees of freedom

The information provided is:

n = 5

Confidence level = 95%

The critical value of t is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}$

$=t_{0.025, 4}$

$=2.776$

*Use a t-table for the critical value of t.

Thus, the t-value used for the 95% confidence interval of paired data is 2.776.

4 0

1 year ago