What are the measures of the base angles of a right isosceles triangle? Explain

Step-by-step explanation:

First, let us assume x = share of the first person who owns 6 tacos and y = the share of the other person whom x shared his tacos with.

[tex]6 = x + y \\ but \: y = 1.6 + x \\ 6 = x + (1.6 + x) \\ 6 - 1.6 = x + x \\ \frac{4.4}{2} = \frac{2x}{2} \\ 2.2 = x \\ \\ y = 1.6 + x \\ = 1.6 + 2.2 \\ = 3.8[/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer:

Graph below

Step-by-step explanation:

Graph of a Function

We are given the function

y = f(x) = -4/3x + 8

Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.

Select values for x={-3, 0, 3, 6, 9}

For x=-3:

y = -4/3(-3) + 8 = 4 + 8 = 12

Point (-3,12)

For x=0:

y = -4/3(0) + 8 = 0 + 8 = 8

Point (0,8)

For x=3:

y = -4/3(3) + 8 = -4 + 8 = 4

Point (3,4)

For x=6:

y = -4/3(6) + 8 = -8 + 8 = 0

Point (6,0)

For x=9:

y = -4/3(9) + 8 = -12 + 8 = -4

Point (9,-4)

Now plot the points in a rectangular grid and join them. The graph is shown below.

Answer:

The scale factor would be 1.5.

Step-by-step explanation:

The triangles are similar, they are simply two different sizes. Therefore, just divide the numbers from the bigger triangle with the numbers of the smaller triangle.

15/10=1.5

9/6=1.5

12/8=1.5

Hope this Helps!

Answer:

Step-by-step explanation:

c

The correct statement about the graph will be;

''The graph of the function is positive on (-∞, –7).''

Option C is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, root of 2 with multiplicity 4, and a root of 4 with multiplicity 1.  

And, The function has a positive leading coefficient and is of even degree.

Now,

A polynomial function has a root of –7 with multiplicity 2.

Then, we get;

(x + 7)²

And, a root of –1 with multiplicity 1.

Then, we get;

(x + 1)¹ = (x - 1)

And, a root of 2 with multiplicity 4.

Then, we get;

(x - 2)⁴

And, a root of 4 with multiplicity 1.

Then, we get;

(x - 4)¹ = (x - 4)

So, The polynomial is;

P(x) = a (x + 7)² (x + 1) (x - 2)⁴ (x - 4)

After rearranged we get;

P (x) = a (x + 7)²(x - 2)⁴(x + 1) (x - 4)

Now, We check all options as;

For option A; The graph of the function is positive on (2, 4).

Substitute (x, y) = (2, 4) in the polynomial;

P(3) = a  (3 + 7)²(3 - 2)⁴(3 + 1) (3 - 4)

      = a × 100 × 1 × 4 × -1

      = -400a

Thus, The graph of the function is negative on (2, 4).

So, Option A is false.

For option B; The graph of the function is negative on (4,infinity).

Substitute x = 6;

P(6) = a  (6 + 7)²(6 - 2)⁴(6 + 1) (6 - 4)

      = a × 169 × 16 × 7 × 2

      = 37,856a

Thus, The graph of the function is positive on (4,infinity).

So, Option B is false.

For option C; The graph of the function is positive on (-infinity, –7).

Substitute x = -8;

P(-8) = a  (-8 + 7)²(-8 - 2)⁴(- 8 + 1) (-8 - 4)

      = a × 1 × 10,000 × -7 × -12

      = 840,000a

Thus, The graph of the function is positive on (-infinity, –7).

Option C is true.

Therefore, The correct statement about the graph will be;

''The graph of the function is positive on (-∞, –7).''

Option C is true.

Learn more about the function visit:

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Answer: The answer is def 15:) (a)

Step-by-step explanation:

Hope you do great! :)

Answer:

it's A)15

Step-by-step explanation:

also give the other person brainliest and hi ;)

Answer:

8

Step-by-step explanation:

6(6)-20-32(1/4)

36-20- 8

16-8

8

Answer:

3.09, 3.75, 4.04, 4.09, 4.42

Step-by-step explanation:

Answer:

4 t-shirts

Step-by-step explanation:

75-35 = 40

at most she can buy 4, because if she buys 5, she uses 45 dollars

Answer:

angle ADC is shown as a 90 degree angle

90 - 22 = 68

so I would go with 68 degrees

Answer:

18 inches

Step-by-step explanation:

P=2L+2W

63=2n+2(13.5)

63=2n+27

63-27=2n

36=2n

n=18

Answer:

9

Step-by-step explanation:

you multiply 1.5 x 6

Answer:

£22 : £44 : £66 : £110

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 + 5 = 11 parts

Divide the amount by 11 to find the value of 1 part of the ratio

£242 ÷ 11 = £22 ← value of 1 part of the ratio, then

2 parts = 2 × £22 = £44

3 parts = 3 × £22 = £66

5 parts = 5 × £22 = £110

Then £242 in the ratio 1 : 2 : 3 : 5 is £22 : £44 : £66 : £110

Answer:

15.75

Step-by-step explanation:

Answer:

the gross monthly income last month is $3,318.92

Step-by-step explanation:

The computation of the gross monthly income last month is shown below:

= Total sales × commission percentage

= $82,968 × 4%

= $3,318.92

hence, the gross monthly income last month is $3,318.92

We simply multiplied the total sales with the commission percentage

Answer:

you can use apps like socratic to get the answer i do this before i come to brainly

Step-by-step explanation:

Answer:

Answer: -3n^9

Step-by-step explanation:

cube root of -27 is -3 and divide 27 with 3 you'll get 9 so the answer is -3n^9

Answer:

C. About 6.3 units

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2

√(-2 - -8)2 + (-4 - -6)2

√(-2+8)2 + (-4+6)2

√(6)2 + (2)2

√36+4

√40= 6.32455532034

Answer:

Step-by-step explanation:

1.3x1.3x1.3x0.63

Answer:

1

Step-by-step explanation:

Example: 2 nonzero numbers: 2 & 3

2 * 3 = 6

Reciprocals: 1/2 * 1/3 = 1/6

6 * 1/6 = 1

Answer:

Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.

Step-by-step explanation:

Let

Inches = x

Feet = y

Constant of proportionality = k

ratio of feet to inches

x = ky

1 feet = 12 inches

12 = k * 1

k = 12/1

k = 12

Ratio of inches to feet.

y = kx

1 = k * 12

k = 1/12

Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.

Answer:

a. 4/11

b. 11-4= 7 used books. So the ratio of used books to all books is 11/7

Answer:

16 m  × 11 m

Step-by-step explanation:

The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.

The original length of gym = 20 m and original width of gym = 15 m

2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:

Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m

Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m

Therefore the dimensions of the basketball court is:

16 m × 11 m

Answer:

The scale factor is 3

Step-by-step explanation:

The reason is that 12, 15, and 9 equal 4, 3, and 5 if divided by 3

formula:

old - new

-------------- (divide)

    old

- plug in

37,000 - 38,295

------------------------- = - 0.035

      37,000

- the order for the top should not matter.

covert this into percentage.

0.035 X 100 = 3.5%