State what additional information is required in order to know that the triangles are congruent for the reason given

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

164/3

Step-by-step explanation:

Answer:

send one

the second one boi

Step-by-step explanation:

pls help

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

b. Pure Imaginary Numbers.

Step-by-step explanation:

[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]

-3 is an integer, a complex number, and a rational number.

Answer: b. Pure Imaginary Numbers.

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Answer:

(1+b)(a+4)

Step-by-step explanation:

Answer:

where's the diagram can you tell

Answer:

b=36 and c=144

Step-by-step explanation:

b+144=180, b=36

b+c=180, c=180-36=144

Answer:

8

Step-by-step explanation:

The bottom angles are equal, so the sides are equal

2x = 5x-12

Subtract 5x from each side

2x-5x= 5x-12-5x

-3x = -12

Divide by -3

x = 4

YZ = 5x-12 = 5(4) -12 = 20-12 =8

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Answer:

0.4 (decimal)

4/9 (fraction)

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag

sum of marshmallows in the bag = 12 + 16 + 8 = 36

Probability a red marshmallow is picked = 16/36

To transform to the simplest form. divide both the numerator and the denominator by 4

= 4/9

to convert to decimal, divide 4 by 9 = 0.4444

0.4 to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The simplified form of 10⁹/10⁷ is 100.

The given expression is,

10⁹/10⁷

Since we know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Since we also know that,

When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,

Therefore,

we can write the given expression

10⁹/10⁷ =  [tex]10^{(9-7)}[/tex]

            = 10²

            = 10 x 10

            = 100

Hence,

10⁹/10⁷ = 100

To learn more about exponent visit

https://brainly.com/question/31242910

#SPJ6

Answer:

[tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes

Step-by-step explanation:

Wanda spends a third of her [tex]4\frac{1}{8}[/tex] hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:

[tex]4\frac{1}{8} =\\\frac{33}{8}[/tex]

Now let us multiply:

[tex]\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}[/tex]

If we wish, we can convert this into a mixed number:

[tex]\frac{11}{8}= \\1\frac{3}{8}[/tex]

or, 1 hour and 22.5 minutes.

Therefore, Wanda spent [tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes studying math.

I hope this helps! Let me know if you have any questions :)

Answer:

A

Step-by-step explanation:

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Answer:

the answer is plane try I'm pretty sure it's that.

Complete the square:

x ^2 - 2x + y ^2 + 4y + 1 = 0

(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4

(x - 1)^2 + (y + 2)^2 = 4 = 2^2

Hence the center is (1, -2) and the radius is 2. (D)

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Answer:

should be 3/7 I think that's right

Answer:

[tex]S' = (-5,-5)[/tex]

[tex]Q"=(-5,-5)[/tex]

Step-by-step explanation:

Given

[tex]S = (5,-5)[/tex]

[tex]Q= (5,5)[/tex]

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]S(5,-5) \to S'(-5,-5)[/tex]

Hence:

[tex]S' = (-5,-5)[/tex]

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So:

[tex]Q(5,5) \to Q'(5,-5)[/tex]

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]

Hence:

[tex]Q"=(-5,-5)[/tex]

i dont get it either

Step-by-step explanation:

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.