Need help with these two questions
31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.

Answer:

£ 186.20

Step-by-step explanation:

height = 6 cm = 0.06 m

Volume of gravel drive away = length * width * height

            = 11 * 4 * 0.06

           = 2.64 m³

Number of gravel bags needed = 2.64 ÷ 0.4

                                                      = 6.6

7 bags are to be purchased by him.

Cost of a bag = £ 38

Cost of 7 bags = 38 * 7 = £ 266

Discount = 30% of 266

                      [tex]= \frac{30}{100}*266[/tex]

                    = £ 79.80

Amount paid by Martin = 266 - 79.80

                                      = £ 186.20

Answer:

x=4.39024390244

Step-by-step explanation:

21x-3+20x+3=180

group up like terms

41x+0=180

41x=180

/41    /41

x=4.39024390244

simplify if needed

fraction form: 180/41

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1/4+3/4 this makes a plus because a -&- makes +

1+3/4

4/4

1

Answer:

1

Step-by-step explanation:

When there are two negative signs directly next to each other (as seen in the problem), it automatically becomes positive. Simplify:

[tex]\frac{1}{4} - (-\frac{3}{4} ) = \frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1[/tex]

1 is your answer.

~

Answer:

9

Step-by-step explanation:

The squares are the same so

3x + 7 = 5x + 1

6 = 2x

x = 3

area = length * length

3 * 3 = 9

Answer:120

Step-by-step explanation: because that is the number

Answer:

there 3x and 4y hope this makes sense ik on a rush

Answer:

Step-by-step explanation:

M=slope

And y is y-intercept

Hopefully it helps

9514 1404 393

Answer:

  1. the longer frame (B) has the shorter width

  2. the shorter width is 6 3/7 inches, area divided by length

Step-by-step explanation:

The relation between area, length, and width is ...

  A = LW

Then the width is ...

  W = A/L . . . . .  inversely proportional to length

__

1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.

__

2. The width of frame B is ...

  W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

use binomial multiplication method

Step-by-step explanation:

We have sinA = 4/5 and sinB = 7/25.

=> cosA = sqrt(1 - sin²A) = 3/5

=> cosB = sqrt(1 - sin²B) = 24/25

P.S. Cosine must be positive in Quadrant I.

sin(A - B)

= sinAcosB - cosAsinB

= (4/5)(24/25) - (3/5)(7/25)

= 75/125 = 3/5. (Shown)

Answer:

A

Step-by-step explanation:

Answer:

23/20

Step-by-step explanation:

Answer:

someone deleted my answer to all of my stuff :(

Step-by-step explanation:

Answer: There are 1 hundreds, and 3 tens so I would do 100 + 30 which is 130 or 13 tens as hundreds. SO your answer is 1 hundreds and 3 tens. Hope this helps you!

Step-by-step explanation:

Answer: Write 13 tens is 130 so mabey write 130 in hundreds and tens so it would be 1 hundred and 3 tens

Step-by-step explanation:

Answer: -1x-10

Step-by-step explanation: Good luck! :D

Step-by-step explanation:

x= 4

y=6.

......................

Answer:

3:45

Step-by-step explanation:

because if you add 2 to 1 it is 3 and that is 3pm and it says 2:00 and the 00 are the minutes minutes so you can add those in and it will be 45 so 3:45

Answer:

4

Step-by-step explanation:

Given algebraic expression: 6x^3y+7x^2+5x+46x3y+7x2+5x+4

We know that the constants are the terms in the algebraic expression that contain only numbers.  

In the given expression only last term has only numerical value and no variable, rest of them have variable x.

Therefore, the constant term in the given algebraic expression  6x^3y+7x^2+5x+46x3y+7x2+5x+4 is 

Answer:

12

Step-by-step explanation:

(5+2)^2 - 40 + 3

= 7^2 - 40 + 3

= 49 - 40 + 3

= 49 - 40

= 9+3

= 12

Answer:

32.5

Step-by-step explanation:

isnt are width times height

Answer:40 more

Step-by-step explanation: since 5/9 of 360 is 200, and 360-200 is 160, you get 200-160=40

Answer:

yuuu7

Step-by-step explanation:

you know what to do with a different person and you know what to do with a different person 3³333 you know what to do with a different person and you know what to do

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?  

Answer:

No table shown

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Its 44

Step-by-step explanation: I got it from khan