One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

Answer:

5 meters

Step-by-step explanation:

40/8=5

Answer:

area of rectangle =length ×width

40m² = 8m × width

40m²/8m = width

5m = width.

Answer:

the first triangle is 10

the second triangle is 8

Step-by-step explanation:

1. the formula for this is a²+b²=c²

c is the missing side

add in the numbers and you get 8²+6²=c²

8² is 64 and 6² is 36. 64+36 = 100

then find the square root of 100, which is 10

2. the formula for this is c²-b²=a²

17² - 15² = a²

289-225 = 64

the square root of 64 is 8

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²

Answer:

down below

Step-by-step explanation:

Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Answer:

The ratio is 6:2:1.

Step-by-step explanation:

Let's denote:

Blue counter b

Red counter r

Yellow counter y.

There is given

r=3b (three times more red as blue) [1]

and

b=2y (twice more blue as yellow.) [2]

Now, replacing [2] to [1] gives

3*2y=r

6y=r.

Hence, the ratio is 6:2:1, because r=6y and b=2y.

Answer:

i can see the question in ascending order

Answer:

k

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

calculadora es muy bonita hoy

Step-by-step explanation:

Answer:

440000079

Step-by-step explanation:

Answer:

350,000

Hope this helps !!!

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

Answer: 61% or exactly 60.9%

Step-by-step explanation:

if 34 are lifting weights then 53 (87-34) are not lifting weights and the percentage of 53/87 is 61%

Answer:

[tex]14.13[/tex]

Step-by-step explanation:

V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Answer:

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Step-by-step explanation:

we are given the redious of a sphere

we want to figure out the volume

remember that,

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]

since we are given the redious we can substitute

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]

as the approximate value of π is given

substitute:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]

we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction

so

simplify square:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]

reduce fraction:

[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]

[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]

simplify multiplication:

[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]

since we cubed the redious and the redious is in feet, we of course use cubic feet

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Answer:

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

surface area of a cube = 6s²

Side length, s = x - 5

Surface area of the cube = 1944 units²

What is the value of x?

surface area of a cube = 6s²

1944 = 6(x - 5)²

1944/6 = (x - 5)²

324 = (x - 5)²

324 = x² - 10x + 25

x² - 10x + 25 - 324 = 0

x² - 10x - 299 = 0

Solve quadratic equation using factorization

(x + 13) (x - 23) = 0

x + 13 = 0 or x - 23 = 0

x = -13 or x = 23

The side length can not be negative

Therefore, x = 23

Answer:

y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.

Step-by-step explanation:

Answer:

840 Gallons

Step-by-step explanation:

Answer:

840 gal

Step-by-step explanation:

Answer:

hope this helps .keep on learning

Answer:

Your answer is 40√3.

Answer:

The last one

Step-by-step explanation:

For is a prepostion. One way to identify prepostions is to use the squirriel trick. Think of a word and then use this sentence starter. The squirrel is ___ the tree. In this case, for fits with it. Another prepostion is in or of. I hope this helps.

Answer:

the answer is D

Step-by-step explanation:

For one main reason, the great Barrier reef attracts thousands of visitors

Answer:

∠ ADE = 59°

Step-by-step explanation:

The angles in a rectangle are right angles, then

∠ ABC = 90° , that is

4x + 15 + 13x + 7 = 90

17x + 22 = 90 ( subtract 22 from both sides )

17x = 68 ( divide both sides by 17 )

x = 4

Then

∠ CBE = 13x + 7 =  13(4) + 7 = 52 +7 = 59°

Since the sides in a rectangle are parallel then

∠ ADE = ∠ CBE ( alternate angles )

∠ ADE = 59°

Answer:

20

Step-by-step explanation:

3.33*6= 19.98

Answer: The brown family started out with 17 pairs of shoes. (11 + 6)

p - 6 = 11 (I would say this is the equation)

Step-by-step explanation:

You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17

Answer: They started out with 17 and the equation was p - 6 = 11

Step-by-step explanation:

Answer:

1 inch = 3 feet

Step-by-step explanation:

if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet