Look at the figure. How can you prove the triangles are congruent?

A) it is not possible to determine if the triangles are congruent

B) ABD = CBD by the SSS postulate

C) ABD = CBD by the SSS postulate

Answer:

D

Step-by-step explanation:

∠1 + ∠2  =  180   {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180      

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

     = 3*18 + 3

     = 54 + 3

∠2 = 57°

Answer:

Answer is option D) 57°

Here is the explanation...

Answer:

9

Step-by-step explanation:

if you substitute a for 3 and b for 2 you should get 9

Answer:

X=1

Step-by-step explanation:

If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.

The streetlight is 3x taller. The larger triangle's base is 30ft. 30 divided by 10 is 3. So the streetlight's height is 3 times 6 which is 18. Which also means the streetlight is 3x taller than the person.

Hello Harry4Hudson!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Factorise; 2 cubed multilpied by 2 squared.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Firstly let's change the statement to a numerical expression.

[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]

__________________

[tex]2 ^{3} \times 2^{2} [/tex]

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.

[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]

We got 2⁵. Now, multiply 2 five times to get the answer.

[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

Answer:

Step-by-step explanation:

1.Consider the quadratic relation y = x^2 – 6x – 16.

a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

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

(x-8)=0; x = 8

2. Consider the quadratic relation y = 2x^2 + 6x – 80.

a) Factor this equation by:

1. Determining the greatest common factor (GCF).

The GCF is 2: 2*(x^2 + 3x - 40)

2. Factoring the equation using common factoring.

2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:

2*(x + 8)(x - 5)

3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

2*(x + 8)(x - 5)

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

0 = (x + 8) and 0=(x - 5); x = -8, and x=5

4

dgfsdfgsfgdfgdfgdfgdfgdfgdfg

Answer:

4

Step-by-step explanation:

Answer:

m^2/n

Step-by-step explanation:

The following laws of exponent are useful to this problem:

[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]

We are given the expression:

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]

Use the first law of exponent above.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]

Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.

From the expression, apply the second law of exponent to n^-1.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]

Multiply m in.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]

Thus the answer is m^2/n.

Answer:

6/3=2

Step-by-step explanation:

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Answer:

2

Step-by-step explanation:

Slope=Rise/Run

What does that mean? It means that the slope is equal to the change in y over the change in x.

It can be defined as m=(y1-y2)/(x1-x2)

Let's pick two random coordinates.

Say...

(30,10) and (40,30).

x1=30

x2=40

y1=10

y2=30

So when we plug those in, we get

m= (10-30)/(30-40)

which simplifies to (-20)/(-10)

which simplifies to 2.

Step-by-step explanation:

udhfhxhsjdjejdbcjdxbshajdddjwjed

The number of strawberry ice cream cones the shop sells that Saturday is 9 ice cream.

calculation:-

An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone.

let a number of strawberry ice cream this shop sold on satrday=X

  number of vanilla ice cream shops sold = X+2

       number of Chocolate ice cream shops sold = X+2+11

Total number of icecream sold on Saturday =42

       ⇒ X+ X+2+ X+2+11 = 42

      ⇒ 3X + 15 =42

      ⇒   3X = 27

      ⇒X = 27/3

       ⇒   X = 9

Learn more about linear equations here:- https://brainly.com/question/14323743

#SPJ2

Answer:

C    DID THE TEST

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Answer:

equilateral

Step-by-step explanation:

This is an isosceles triangle, which means that is has two congruent legs and two congruent base angles. Therefore, because IJ and IH are congruent, angles J and H are also congruent.

v = 54 degrees

Hope this helps!! :)

Answer: w - 7

Step-by-step explanation:

The expression is simply less 7 less than w, or w - 7.

Answer:

356

Step-by-step explanation:

4 x (14 5/6) =

4 x (14 x 6) + 5

4 x 89 = 356

Answer:

x=14.y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

6) Area of rectangle = 78.5 sq . cm

length * width = 78.5

15.7 * width = 78.5

        Width = 78.5/15.7

                  = 5 cm

7) circumference of circle = 44 cm

[tex]2\pi r = 44 \\\\2*\dfrac{22}{7}*r=44\\\\r = 44*\dfrac{7}{2*22}\\\\r = 7[/tex]

r = 7 cm

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

[tex]h(t) = 800, 30 \leq t < 35[/tex]

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at https://brainly.com/question/13205719

Answer:

1 / 1

Step-by-step explanation:

Your line has a 1 to 1 ratio of rise over run.

Answer:

m = 14

Step-by-step explanation:

The entered points belong to an increasing, linear function.

Answer:

Equilateral triangle

Step-by-step explanation:

All the three sides are equal.So, it is equilateral triangle

Part 1

The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.

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

Part 2

Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15

Answer:

104.80 cm²

Step-by-step explanation:

Formula to know:   Volume = e³ ; SA = 6e²

V = e³                       Substitute what you know  V = e³ and solve

73 = e³    

[tex]\sqrt[3]{73}[/tex] = e                   one edge of the cube  

Find the SA    

SA = 6e²                  Substitute the value for e      

SA = 6([tex]\sqrt[3]{73}[/tex])²

SA = 6([tex]\sqrt[3]{73} \sqrt[3]{73}[/tex] )

Sa =  104.80

Answer:

Step-by-step explanation:

A-Reflection

B-Translation

C-Rotation

D- Glide Reflection

Answer:

It is isosceles triangle because its base angles are equal .

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Answer: A. isosceles

Step-by-step explanation:

an isosceles triangle is a triangle that has two sides of equal length.

You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle

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