Rashon left his house to go
to his office. He walked 30 m east and 40 m north.
How far is Rashon's office
from his house?

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;

3/6 = 4/8 = 2

∴  [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]

9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

Answer: A

13+4=17

Step-by-step explanation:

I want Brainlist

Answer:

x - 3 > 15 ;

x > 18

Step-by-step explanation:

Given a number, x

3 less than x ; x - 3

3 less than x is more than 15

The inequality expression becomes ;

x - 3 > 15

We can solve for X ;

x - 3 > 15

Add 3 to both sides ;

x - 3 + 3 > 15 + 3

x > 18

Answer:

Answer is  5  pounds of bananas

Step-by-step explanation:

Required milk:

Milk= 2 gallons

Milk cost per gallon=$0.75

so,

2*0.75

$ 1.5

total amount =$2.25

to  calculate bananas

$2.25-$1.5=$0.75

per pound cost of bananas =$0.15

$0.75/$0.15

5 pounds of bananas

Dona bought 5 pounds of banana and 2 gallons of milk for a total of $2.25.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, In 1947, milk cost $0.75 per gallon and bananas cost $0.15 per pound.

Let,The cost of one gallon of milk is 'x' dollars and the cost of one pound of banana is 'y' dollars.

Also given Donna bought two gallons of milk and some bananas for a total of $2.25.

Therefore, 2(0.75) + 0.15y = 2.25.

0.15y = 2.25 - 1.5.

0.15y = 0.75.

y = 0.75/0.15.

y = 5.

So, Dona bought 5 pounds of bananas.

learn more about linear equations here :

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Answer:

When x=1/2

Y=-6x-83

Y=-6(1/2)-83

Y=-3-83

Y=-86

Answer:

Answer:

10

Step-by-step explanation:

(7+3) = 10

Answer:

x=-2

Step-by-step explanation:

x-15=-17

x=-2

Answer: 420

Step-by-step explanation:

Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

Answer: 9.44 cm

Step-by-step explanation:

A = b × h

A = 4 × 2.36

A = 9.44 cm

To find the area of a parallelogram, the formula to use is A = b × h.

Answer:

27

Step-by-step explanation:

its that be 45 is there to be

Answer:

1

Step-by-step explanation:

Answer:

28.26 m²

Step-by-step explanation:

use formula please

Answer:

1) no, it is not a right triangle.     3² + 4² ≠ 25²

2) no, it is not a right triangle.    38² + 77² ≠ 86²

3) no, it is not a right triangle.    10² + 36² ≠ 37²

4) yes, it is a right triangle.        30² + 40² = 50²

5) yes, it is a right triangle.         8² + 15² = 17²

6) yes, it is a right triangle.        18² + 24² = 30²

7) no, it is not a right triangle.     5.3² + 7.9² ≠ 8.1²

8)  yes, it is a right triangle.         10² + 24² = 26²

Answer:

The answer is G. The first part of the segment is 7 (between 6 and 8) and the endpoint is at 20. It has a range of 13.

Answer:

its irrational because it doesn't terminate or repeat

Step-by-step explanation:

the square root of 5 is 2.2360679775

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

Answer:

4/1/4

Step-by-step explanation:

48÷6

=8-3 3/4

=4/1/4

Answer:

since the product meaning multiplication, it basically means 11 (q) which is 11q.

Answer:

25/4

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

4 × 6 = 24

Step 2

Add the answer from Step 1 to the numerator

24 + 1 = 25

Step 3

Write answer from Step 2 over the denominator

Hope it helps :)

Answer:

25/4

Step-by-step explanation:

(6*4)+1

Answer:

The area of this triangle is 7.5 square feet.

Step-by-step explanation:

Area of a triangle formula: A = 1/2 * base * height;

Apply formula to equation

(5 * 3)/2 = 7.5

Answer:

Step-by-step explanation:

area= 9*9*3.14=254.34

c=18*3.14=56.52

Answer:

This one i wrote down too

Step-by-step explanation:

Answer:x=2

Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest

Answer:

x > 2

Step-by-step explanation:

Given

x + 8 > 10 ( subtract 8 from both sides )

x > 2

Answer:

Step-by-step explanation:

You meant x^2, right?

We get the graph of g(x) through two transformations of the graph of f(x):  

1.  Reflect the graph of f(x) about the x-axis.

2. Translate the graph obtained in (1) 2 units down.

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?

Answer:

P = 2x^3 + 14x^2 + 8x + 6

Step-by-step explanation:

The perimeter of this figure is P = 2W + 2L, or, in this specific case,

P = 2(7x^2 + 4x + 3) + 2(x^3), which, when expanded, comes out to:

P = 14x^2 + 8x + 6 + 2x^3, or, in standard form:

P = 2x^3 + 14x^2 + 8x + 6

Answer:

Hillary 2400

carlton 800

will 3200

ashley 1600

Step-by-step explanation:

hillary 30% of 8000 ---- 8000:100×30=2400

will 2/5 of 8000 8000:5×2=3200

carlton 1/4 of will's---- 3200:4=800

ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600