which triangles are similar to triangle FDG? Help me asap​

Answer:

a. 24

Step-by-step explanation:

Rolling a number cube: 6 outcomes

tossing a coin: 2 outcomes

At this point, we have 6 x 2 = 12 outcomes, because each of the 6 numbers on the cube can each have a heads or tails outcome

Choosing card A or card B gives us 2 more outcomes for each of the 12 outcomes we have so far.

12 x 2 = 24

Step-by-step explanation:

[tex] \frac{7}{2x + 1} + \frac{4}{4x + 2}[/tex]

[tex] =\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}[/tex]

[tex]= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{36x + 18}{(2x + 1)(4x + 2)} [/tex]

[tex]=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{9}{2x + 1}[/tex]

Answer:

2x

Step-by-step explanation:

x2+7x=9

x+x+2+7=9

2x+9=9

=2

Answer:

12/20 and 11/20.

Step-by-step explanation:

The least common denominator between 3/5 and 11/20 is 20.

For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.

The second equation already has a denominator of 11/20 so we can leave it as is.

Answer:

[tex]31\frac{1}{2}[/tex] kilometers

Step-by-step explanation:

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

Answer:

A

Step-by-step explanation:

just did it on edmentum .

Answer:

3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To prove that two triangles are congruent using the SSS Congruence criterion, we must establish that all three sides of one triangle are equal to all the corresponding sides of the other.

Thus,

Side AD in ∆ADB is congruent to side AD in ∆ADC.

Side BD in ∆ADB is congruent to side CD in ∆ADC.

Side AB in ∆ADB is congruent to side AC in ∆ADC.

Therefore, based on the SSS congruence criterion, it is concluded that both triangles are congruent.

The statements necessary to prove that they are congruent by SSS is:

C.

Answer:

33.95m

Step-by-step explanation:

[tex]\frac{33}{sin(60)} = \frac{c}{sin(63)}[/tex]                  *Cross multiply*

[tex]c(sin(60)) = 33(sin(63))[/tex]    *Divide by sin(60)*

[tex]c = \frac{33(sin(63))}{sin(60)}[/tex]                     *Solve*

[tex]c = 33.95m[/tex]

Answer:

(1) 64

(2) 8

(3) 2187

(4) 6x^4

Step-by-step explanation:

Answer:

Refer to the attachment

Answer:

[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..[/tex]

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:  This cannot be one of the two equal angles in the isosceles triangle as it violates the rule that sum of three angles of a triangle is equal to 180 degrees. Hence the remaining two angles contribute to the 180 - 96 = 84 degrees. And the two equal angles are 42 degrees each. In any case, <E is equal to 42 degrees.

Answer:

he arrived at school at 7:18

Step-by-step explanation:

Time = distance/speed  = 3mi/30mph

= 3/30

= 0.1 hour

= 6 minutes

= 00:06:00

Answer:

1/2

Step-by-step explanation:

So lets go over what slope is.

The formula for slope is y/x

To find this, we can just count the change in y, and put it over x.

So lets see.

On the graph, we can count that y goes up by one, and that x goes to the right by 2.

So this means our slope is y/x, or 1/2.

This is our answer.

I hope this helps! :)

I included a visual of this as well!

Answer:

Volume (V) = 2522.0 mm^3

Step-by-step explanation:

The volume of cylinder is :

V = π r 2 h

We know that the height (h) is 19.

We also know the radius (r) is 13/2 = 6.5

So,

V = π 6.5^2*19

V = 2522.0 mm^3

Answer:

3x=6

Step-by-step explanation:

Answer:

0.796 (simplified) 10π (not simplified)

Step-by-step explanation:

The formula for the circumference of a circle is

2πr so we have to do is plug in 5 for our radius:

2π(5) equals .796 or can be left as 10π.

The exact circumference of a circle that has a radius of 5 cm will be 31.4 centimeters.

The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle.

Then the circumference of the circle will be

Circumference = 2πr  units

The radius of the circle is 5 centimeters.

Then the circumference of the circle will be

Circumference = 2πr

Circumference = 2π (5)

Circumference = 10π

We know that the value of π will be 3.14 approximately. Then we have

Circumference = 10 x 3.14

Circumference = 31.4 centimeters

The exact circumference of a circle that has a radius of 5 centimeters will be 31.4 centimeters.

Learn more about circumference of a circle here:

https://brainly.com/question/27177006

#SPJ5

Answer:

[tex]7\sqrt{3}[/tex]

Step-by-step explanation:

Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:

The side opposite to 30 degree angle: n

The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]

The side opposite to 90 degree angle: 2n

Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]

Answer:

[tex]5.18 *10^{9}[/tex]

Step-by-step explanation:

3.7 * 1.4 = 5.18

[tex]10^{6} *10^{3} = 10^{9}[/tex]

Answer:

3.7 x 10^3 and 1.4 x 10^6 = 1403700 = 1.4037 × 10^6

Step-by-step explanation:

= 1.4037 × 10^6

(scientific notation)

= 1.4037e6

(scientific e notation)

= 1.4037 × 10^6

(engineering notation)

(million; prefix mega- (M))

= 1403700

(real number

Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Answer: 592

Step-by-step explanation:

I did the test and i got it right :)

Answer:

592

Step-by-step explanation:

click the crown by my name

Answer: 274 votes

Step-by-step explanation:

Since we are informed that in a a​ poll that 411 students voted and Nominee C received ⅔ of the votes.

Therefore, the number of votes that Nominee C ​received will be:

= ⅔ × 411

= 274

Therefore, Nominee C got 274 votes

Length of diagonals are :

[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]

[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]

Now, Slope of both the diagonal is :

[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]

Now, product of slopes are :

[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]

Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.

Therefore, this quadrilateral is not square.

Answer:

i. 2000 ii. 3500

Step-by-step explanation:

Since the absolute value of a number x, |x| = x if x > 0 and |x| = -x if x < 0,

i. Absolute value of Mountain Summit

Since the Mountain Summit elevation, x = 2000 - 0 = 2000, its absolute value = |2000| = 2000

ii. Absolute value of Mountain Overlook

Since the Mountain Summit elevation, x = -3500 - 0 = -3500, its absolute value = |-3500| = -(-3500) = 3500