Determine if the two triangles are congruent. If they are, state how you know.

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Answer:

y = 6/7x - 37/7

Step-by-step explanation:

m = 6/7

(5, -1)

y - y1 = m(x - x1)

y + 1 = 6/7(x - 5)

y + 1 = 6/7x - 30/7

y = 6/7x - 37/7

Answer:

Step-by-step explanation:

Start by the point-slope form and given slope = 6/7 and point (5, -1)

(y-(-1)) / (x-5) = 6/7

7(y+1) = 6(x-5)

7y = 6x - 37

y = 6x/7 - 5 2/7

which is the answer in slope-intercept form

eighteen biscuits are made from each cup

Answer:

44ft

Step-by-step explanation:

The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.

Answer:

x=2

Step-by-step explanation:

7x = 14

x = 14/7

x = 2

Answer:

2

Step-by-step explanation:

7x/7 = 14/7

x = 2

Step-by-step explanation:

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✧ [tex] \underline{ \underline{ \large{ \tt{ \: T \: O\: F\: I \: N \: D}}}} : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I\: O \: N}}}} : [/tex]

❀ [tex] \boxed{ \large{ \text{Perimeter \: of \: a \: rectangle \: = \: 2(l + w)}}}[/tex]

⟶ [tex] \large{ \tt{2(1.5 \: t \: + 8 \: + 7t - 1.5}})[/tex]

⟶ [tex] \large{ \tt{2(1.5t + 7t + 8 - 1.5)}}[/tex]

⟶ [tex] \large{ \tt{2}(8.5t + 6.5)}[/tex]

⟶ [tex] \large{ \tt{17t + 13}}[/tex]

☄ [tex] \underline{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{17t + 13 feet}}}}}} [/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☞ [tex] \underline{ \underline{ \mathfrak{Carry \: on \: learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]x=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.

In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:

[tex]4x+5=8[/tex]

[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])

[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

Answer:

y = 12 + 2x

Step-by-step explanation:

Given that :

Let number of butterflies = y

Number of moths = x

y = 12 more than twice the number of moths

y = 12 + 2x

Hence, the expression which relates the number of butterflies he has is :

y = 12 + 2x

Answer:

axis of symmetry is x = 1; vertex is (1,8)

Answer:

x=90

y=45

z=45

ok but i am not sure at all please confirm

Answer:

30-15,40-80,14-28

Step-by-step explanation:

6/3 =2 so multiply all by two but the last you divide by 2

Answer:

3.51

Step-by-step explanation:

Answer:

74.48

Step-by-step explanation:

78.00*0.045=3.52

78-3.52=74.48

Answer:

Step-by-step explanation:

.

4

2

Answer:

x = 4, -4

Step-by-step explanation:

You can do this by simply pressing the calculator OR by simplify

4x^2 - 64 = 0

(2x)^2 - 8^2 = 0

(2x - 8)(2x + 8) = 0

∴ 2x - 8 = 0 or 2x + 8 = 0

x = 4 or x = -4

Answer:

[tex]g= 2[/tex]

Step-by-step explanation:

Given

[tex]Used = 7[/tex]

[tex]Left = 5[/tex]

Required

Determine the additional gallons used (g)

This is calculated as:

[tex]Left+ g= Used[/tex]

So, we have:

[tex]5 + g = 7[/tex]

Make g the subject

[tex]g = 7 - 5[/tex]

[tex]g= 2[/tex]

Answer:

pretty sure its d

Step-by-step explanation:

Because a has spread out dots and b has them all towered and neat so d

Answer:

D.)

Step-by-step explanation:

Answer: Cube has more volume

Step-by-step explanation:

Volume of a cube = length³

= 8³ inch

= 512 inch³

Volume of cone = 1/3πr²h

= 1/3 × 3.14 × 4² × 8

= 133.97 inch³

Therefore, the cube has more volune

Answer:

10x + 2pix

Step-by-step explanation:

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

Answer:84.84m^2

Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.

Step-by-step explanation:

This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.

Answer:

a+69=180

a=180-69

a=111

In triangle sum of all angle is 180 degree. Therefore;

b+69+73=180

b+169=180

b=180-142

b=38

Step-by-step explanation:

Answer:

16/100*40

32/2

lol so simple

gg

Answer:

the X is 35

Step-by-step explanation:

Step-by-step explanation:

the volume would be inside of the spear so i could be wrong but you would do 10 multiplied by 21 and you get 210. IF you did base and height the base would be 10ft and the height would be 21ft then you just do base times height and that gets you 210 . i could be wrong though

Answer:

ans= -10× +18

-2(5×-8) distribute -2

-10× + 16

thank u i hope that helps

Answer:

Hate to say it but if there is 2 people per square table and there are 8 tables in a row it would seat 16 people

Step-by-step explanation:

8 x 2 = 16

SRY :(