the example shows that <A is congruent to <R. what does it mean to say that angles are congruent ​

Step-by-step explanation:

reason 1: given

reason 2: alternate interior angles

reason 3: alternate interior angles

reason 4: common (reflexive property)

reason 5: aas

Step-by-step explanation:

If X represents the length of the side of a cube, the formula for the surface area of the cube, S =?

solution :

the area of each face of the cube = side × side

= X × X = X²

the cube has 6 similar faces, so the surface area of the cube could be:

S = 6 × X² = 6X²

Answer:

Surface Area = 6 × S²

Step-by-step explanation:

the surface area fo the cube :

if lenght = S, the surface area fo the cube :

SA = 6 × lenght × lenght

SA = 6 × S × S

SA = 6 × S²

The answer is C

The best answer is C

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

Answer:

48 cents

Step-by-step explanation:

Answer:

x=81

z=99

y=68

Step-by-step explanation:

63+36=99

180-99=81

x=81

Angles in a triangle sum to 180

180-81=99

z=99

Angles on a line sum to 180

99+13=112

180-112=68

y=68

Angles in a triangle sum to 180

Answer:

(a^6)^3 / (a^5)^2 = a^8

Step-by-step explanation:

step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis

ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10

step 2: subtract the exponents

ex: a^18 - ^10 = a^8

Answer:  To isolate the variable in ¹/₄ x multiply by 4 or divide by 1

Step-by-step explanation:

              Let                  ¹/₄ x = a

multiply by 4:          4 (¹/₄) x  = 4 a

                                      1  x  = 4 a

divide by 1:                    ¹/₁ x  = ⁴/₁ a

                                          x  = 4a    [x is now isolated]

To isolate the variable in 1/4x multiply by 4 or divide by 1/4

From the question, we have the following parameters that can be used in our computation:

Expression = 1/4x

To isolate the variable in 1/4x, we multiply by 4

So, we have

Expression = 1/4x * 4

Expression = x

OR

To isolate the variable in 1/4x, we divide by 1/4

Expression = 1/4x / 1/4

Expression = x

Read more about expressions at

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Answer:

Step-by-step explanation:

joe mamma

Answer:

[tex]48 cm^2[/tex]

Step-by-step explanation:

Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.

The 4-by-10 triangle: The area is [tex]4*10/2=40/2=20[/tex].

The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is [tex]20[/tex].

The 4-by-4 triangle: The area is [tex]4*4/2=8/2=4[/tex].

The other 4-by-4 triangle has the same area, [tex]4[/tex].

The total area is [tex]20+20+4+4=\boxed{48} cm^2[/tex].

Step-by-step explanation:

x³⁰ - 2x³ + 5 / x + 1 = x²⁹-x²⁸+x²⁷-x²⁶+x²⁵ ... -x⁴+x³

- x³⁰ + x²⁹ -3x²+3x-3

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

0 - x²⁹-2x³

- - x²⁹-x²⁸

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

0 x²⁸-2x³

...

- -x⁵-x⁴

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

0 x⁴-2x³

- x⁴+ x³

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

0 -3x³+5

- -3x³-3x²

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

0 3x²+5

- 3x²+3x

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

0 -3x+5

- -3x -3

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

0 + 8

the remainder is 8

Answer:

DG = 7z - 5

Step-by-step explanation:

In order to find DG, you add DE and GE.

Answer:

6.2

Step-by-step explanation:

[tex] \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2[/tex]

Answer:

revenge

Step-by-step explanation:

ez

Answer:

Step-by-step explanation:

Answer:

Option B. 20% of her customers ordered appetizer but no dessert.

Step-by-step explanation:

We have to analyze a track report of the customers who ordered an appetizer and dessert.

In this track report highlighted cell is 0.2 which shows appetizer ordered with no order of dessert.

Therefore 0.2 means 20% of the customer ordered an appetizer but no dessert was ordered.

Option B. is the answer.

Answer:

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Step-by-step explanation:

x⁴ - 3x² + 2 = 0

x^2×2 - 3x² + 2 = 0

(x²)² - 3x² + 2 = 0

t² - 3t + 2 = 0

t = 1, t = 2

x² = 1, x² = 2

x = -1, x = 1

x = - square root 2, x = square root 2

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Answer: (3, 9)

Step-by-step explanation:

X: Midpoint between 0 and 6

X: Midpoint between 1 and 5

X: Midpoint between 2 and 4

X: Midpoint is 3.

Y: Midpoint between 13 and 5.

Y: Midpoint between 12 and 6.

Y: Midpoint between 11 and 7.

Y: Midpoint between 10 and 8.

Y: Midpoint is 9.

Answer:

See below.

Step-by-step explanation:

First question:

Think of the x-axis as a mirror. Quadrilateral is above the x-axis. Quadrilateral is below the x-axis. Quadrilateral ABCD was reflected across the x-axis. Quadrilateral A'B'C'D' is a mirror image of quadrilateral ABCD.

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'.

Second question:

Quadrilaterals ABCD and A"B"C"D" are both turned the same way. Quadrilateral A"B"C"D" is just moved left and down from quadrilateral ABCD. That transformation is called a translation.

Quadrilateral ABCD undergoes a translation 7 units left and 1 unit down to form quadrilateral A"B"C"D".

Answer:

18 green fish and there are 12 yellow fish

Answer:

y=[tex]-\frac{3}{2}x-5[/tex]

Step-by-step explanation:

Use the point slope formula

[tex]y-y_1=m(x-x_1)[/tex]

y-1=[tex]-\frac{3}{2}[/tex](x-4)

Multiply -3/2 by (x-4) which equals -3/2x-6

Move the 1 by adding to both sides

The gives us y=[tex]-\frac{3}{2}x-5[/tex]

Answer:

[tex]n = 18 \\ [/tex]

Step-by-step explanation:

[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]

Answer:

Where are the fractions?

Step-by-step explanation:

There's 3/4, 9/12, 27/36, etc

Answer:

3/4

Step-by-step explanation:

First you would take 75/100 and than simplify that down so you get 3/4

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

Answer:

60mph

Step-by-step explanation:

2s - 30 = 1.5s

2s - 1.5s = 30

.5s = 30

s = 60 mph is car B's speed

Answer:

im pretty sure it is 2 and 8

Step-by-step explanation:

Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

Answer:52.7• 1014

Step-by-step explanation: