Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.

A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem

B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.

C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.

D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.

Answer: 26 cards

Step-by-step explanation:

Suppose there are x cards initially

Min gave half to bill i.e. 0.5x

Bill gives one-third of those cards to Sam i.e. [tex]\frac{1}{3}\times 0.5x[/tex]

Sam gave 2 cards back to min and kept 6 i.e. Sam gets 8 cards from Bill

[tex]\Rightarrow 8=\dfrac{1}{3}\times 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48[/tex]

So, min has 0.5x+2 cards i.e.

[tex]\Rightarrow 0.5\times 48+2\\\Rightarrow 26\ \text{cards}[/tex]

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Complete question is;

Craig went to an auction and bought five different items. Use the clues below to determine the price he paid for each item.

1. the chair was the most expensive item, which sold for $95.

2. The range of the prices of the five items was $75.

3. The stereo was the least expensive item.

4. Craig bought the TV for $25.

5. The video game player was $20 more than the TV.

6. The bed was $60 more than the stereo.

Answer:

Cost of chair = $95

Cost of stereo = $20

Cost of TV = $25

Cost of video game player = $45

Cost of bed = $80

Step-by-step explanation:

We are told the chair was the most expensive item which was $95.

the range of the prices of the five items was $75. This means;

Highest price - lowest price = $75

Since highest price is $95, then lowest price = 95 - 75 = $20

stereo is the least expensive item. Thus, stereo will cost $20.

TV was bought for $25

video game player was $20 more than the TV. Thus, video game player cost = 25 + 20 = $45

Bed was $60 more than stereo. Thus,

Cost of bed = $20 + $60 = $80

Answer:

A = 61

Step-by-step explanation:

Complementary angles add to 90 degrees

A+B = 90

A +29 = 90

A = 90-29

A = 61

Answer:

∠A = 61°

Step-by-step explanation:

We know that sum of both angles of complementary angle is 90°.

∠A + ∠B = 90°

∠A + 29° = 90° ... (∠B = 29° - given )

subtract 29° from each side

∠A + 29° - 29° = 90° - 29°

∠A = 61°

Answer:

D. 1.0 x 10^-3

Step-by-step explanation:

1.2 ×10^-3 = .0012

2.0 ×10^-4 = .0002

.0012

.0002

_______

.0010 = 1.0 x 10^-3

Answer:D

Step-by-step explanation:

Answer: 9/4

Step-by-step explanation: Think of [tex](\frac{4}{9})^{-1}[/tex]as [tex]\frac{4^{-1} }{9^{-1}}[/tex].

Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and

we can change 9⁻¹ to 9¹ by moving it to the numerator.

So we have 9¹/4¹ which simplifies to 9/4.

Answer:

4

Step-by-step explanation:

x = root under 5/2

so it is real and irrational number

Answer:

B $1050

Step-by-step explanation:

Determine 30% of the price

1500 * 30%

1500 *.30

450

Subtract this from the price

1500-450

1050

Answer:

B $1050

Step-by-step explanation:

0.3 x 1500 = 1050

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8

Answer:

210

Step-by-step explanation:

Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

45 ÷ 2 = 22.5

22.5 × 8 = 180

180 - 12 = 168

168 + 42 = 210

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Answer:

181/13 =w

Step-by-step explanation:

2w+2019 = 15w + 1838

Subtract 2w from each side

2w-2w+2019 = 15w-2w + 1838

2019 = 13w + 1838

Subtract 1838 from each side

2019 -1838 = 13w

181 = 13w

Divide each side by 13w

181/13 = 13w/13

181/13 =w

Answer:

Doña Juana tiene 83,782 hectáreas cultivadas en total.

Step-by-step explanation:

Dado que Doña Juana tiene cultivadas 80 hectómetros cuadrados de naranjas, 300 decámetros cuadrados de mandarinas, 700000 decímetros cuadrados de limones y 8200000 centímetros cuadrados de toronjas, para determinar cuántas hectáreas en total tiene cultivadas se deben realizar los siguientes cálculos:

1 Hm2 = 1 hectárea x 80 = 80 hectáreas

1 Dam2 = 0.01 hectárea x 300 = 3 hectáreas

1 Dm2 = 0.000001 hectárea x 700000 = 0.7 hectáreas

1 Cm2 = 0.00000001 hectárea x 8200000 = 0.082 hectáreas

80 + 3 + 0.7 + 0.082 = X

83,782 = X

Por lo tanto, Doña Juana tiene 83,782 hectáreas cultivadas en total.

Answer:

27

Step-by-step explanation:

4a + 5b

12 + 15

=27

Answer:

A

Step-by-step explanation:

Corresponding parts of similar triangle have the same proportions

Answer: A)  [tex]\frac{AB}{XY} =\frac{AC}{XZ}[/tex]

Step-by-step explanation:

OK so if a figure is a dilation of another figure that means that is has the same angles but the sides are going to be smaller or bigger. Even though the sides are a different size they are proportional. So if I divided the length of AB over XY I'd get 5 since that is the scale factor. If I did that with AC over XZ I'd get 5 again because that is the scale factor. That's because they were proportional. Let's say this wasn't a dilation and AB over XY was 5 but AC over XZ was 4 that would mean it isn't proportional because AB would be 5 times bigger but XZ is only 4 times bigger.

Answer:

Each friend raised $ 182.50.

Step-by-step explanation:

Given that four friends raised a total of $ 730 for a local charity, and each friend raised the same amount of money, for model the total amount that the friends raised the following calculation must be performed:

730/4 = X

182.5 = X

Therefore, each friend raised $ 182.50.

Answer:

4 represent how many feet from surface

Step-by-step explanation:

it would be 10

Step-by-step explanation:

once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10

Answer:

Step-by-step explanation:

given.quesion.

The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle

to. find.

area of the rectangle

given

decreased. 25•/•

increased.40•/•

solusion

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 - 25%) x B x (1 + 40%)

A = L x B x 0.75 x 1.40 = L x B x 1.05

Therefore the area of the rectangle has increased by 5%.

required answer.

5•/•

answer. with. explamation. in. attachment.

hope. it's. helps. you.

Answer:

16x - 16 = 4(4x - 4) Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

The sum of both angles are complementary that is;

6x + 48 = 90

6x = 90 - 48

6x = 42

x = 42/6

x = 7

Hence the value of x is 7

Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

Answer:

Step-by-step explanation:

Divide the numbers first because that's the easy part and we've been dividing since like 5th grade.

1.6/.2 = 8. Now for the exponents.

When you divide like bases, you subtract the exponents. Our bases are both 10's, so they are like. Subtracting the exponents gives us 10³. So the answer is 8 × 10³, choice B.

Answer:

An equilateral triangle with a perimeter = 30 has each side = 10.

The height of an equilateral triangle = side * sqr root (3) / 2 =

10 * 1.7320508076 / 2 = 17.320508076 / 2 = .866025...

http://www.1728.org/triang.htm

Step-by-step explanation:

Answer:

jkjkjkjkjkjk

Step-by-step explanation:

jkjkjkjkjkjkj

Answer:

Step-by-step explanation:

Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.