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:

[tex]P(4) = \frac{1}{6}[/tex]

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number cube:

A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

[tex]P(4) = \frac{1}{6}[/tex]

P(not a 2)

Of the 6 sides, one is a 2, and the other 5 are not 2. So

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]

Answer:$342

Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.

Answer:

me :- mighty assassin-,-

xd

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Answer:

17

Step-by-step explanation:

f(x)=3x+2

Let x = 5

f(5)=3*5+2

Multiply first

f(5) = 15+2

Then add

    = 17

Answer:

Give him a Big hug and be so happy

Ask him all the questions that I have by my thinking marathon at 3 a.m.

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.

Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft[tex]^2[/tex]

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

You can solve for x, or you can try x=3.5 to see if that makes the equation true. Here, we decided to solve for x.

A. x =(8×3 -3)/7 = 3

B. x = 15 -11.5 = 3.5

C. x = (34 -6)/8 = 3.5

D. x = 15.5 -12 = 3.5

E. x = 20 -15.5 = 4.5

==================================================

Work Shown:

[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]

Therefore, a = 10

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

As an alternative approach, we could work in reverse like this:

[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

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

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Answer:

180 square inches

Step-by-step explanation:

let separate the figure and form two rectangles

first rectangle

length = 10 in

breadth = 9 in

let's find its area

area =l*b

=10*9

=90 in.^2

second rectangle

length = 15 in.

breadth = 6 in.

area =l*b

=15 *6

=90 in.^2

area of a whole he painted =area of first rectangle + area of second rectangle

=90 + 90 in.^2

=180 in .^2

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

36+36=72

180-72=108

360-(108×2)

144

144÷2

72

Answer:

the answer is the alphabet a

Answer:

36 inches

Step-by-step explanation:

Given data

Area of triangle =2 1/4 square inches

Area =9/4 square inches

Height of triangle =1/8 inches

We know that the expression for the area of triangle is

Area = 1/2Base *Height

9/4=1/2*Base *1/8

9/4=Base/16

Cross multiply

16*9=Base*4

144=Base*4

Base =144/4

Base=36 inches

Answer:

4

Step-by-step explanation:  6 22 22  04

it looks like you want to divide 23.584 by 5.97

to estimate this 23.584 is close to 24 and 5.97 is really close to 6

24/6  = 4

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

Answer:

C-true

Step-by-step explanation:

A-false

B-false

C-true

D-false

used substitution

The product of the two expressions (m - n)(m + n) gives x² - 4

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression (m - n)(m + n):

Multiplying the two expressions gives:

m² + mn - mn - n²

This gives:

m² - n²

The product of the two expressions (m - n)(m + n) gives x² - 4

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer:

ty

Step-by-step explanation:

mtj

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

3

Step-by-step explanation:

i got it right on my test

Answer:

8

Step-by-step explanation:

Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Ans = 65

Step-by-step explanation:

2x3 + 5x + 9

2x3 + 5x10 + 9

6 + 50 + 9

56 + 9

= 65

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

Answer:

log (1/6)

Step-by-step explanation:

Using the property that log a - log b = log(a/b), we get that log 4 - log 24 = log(4/24) = log (1/6)

I hope this helps! :)