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4 years ago

Find the missing number of each unit rate.

Mathematics

2 answers:

Nutka1998 [239]4 years ago

7 0

3 and 4 because 5 goes into 15 three times and 6 goes into 24 four times

UNO [17]4 years ago

6 0

15/5 = 3/1 24/6 = 4/1

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Given: ABCD trapezoid BC=1.2m, AD=1.8m AB=1.5m, CD=1.2m AB∩CD=K Find: BK and CK

stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

$AD\parallelBC$

$\angle KBC=\angle KAD$ (Corresponding angles)

$\angle KCB=\angle KDA$ (Corresponding angles)

By AA rule of similarity

$\triangle KBC\sim \triangle KAD$

Corresponding sides of similar triangles are proportional.

$\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}$

$\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{2}{3}$

$3x=2x+3$

$x=3$

The length of BK is 3 m.

$\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{y}{y+1.2}=\frac{2}{3}$

$3y=2y+2.4$

$y=2.4$

The length of CK is 2.4 m.

5 0

3 years ago

Read 2 more answers

Evaluate the expression for the given value of the variable(s). -x2 - 4x; x = –3

yaroslaw [1]

Answer:

Step-by-step explanation:

Subbing -3 for x in -x^2 - 4x, we get -(-3)^2 - 4(-3)

OR -9 +12

Final result: 3

7 0

3 years ago

What is the value of the expression below? 7 divided by 2 minus 4.5 x times 3 + 8

Vesnalui [34]

Answer:

the answer is 5

Step-by-step explanation:

$7 \div 3 = 3.5$

$3.5 - 4.5 = - 1$

$- 1 \times 3 = - 3$

$- 3 + 8 = 5$

7 0

3 years ago

Read 2 more answers

Find the total cost for a $579 smartphone with 5% sales tax

tensa zangetsu [6.8K]

To find your answer first you must convert 5% into a decimal which will be 0.05. Then you will have to multiply 0.05 by 579 which will give you 28.95. The final step is to add $28. 95 which is the sales tax to $579 which will give you $550.05.
Final cost: $550.05

3 0

3 years ago

Jim borrows $790 for 4 months. He pays a simple interest rate of 6%. How much interest must he pay? Round your answer to the nea

nydimaria [60]

Answer:

Jim will be paid $150 or 30% to his account.

Step-by-step explanation:

Have a great day :)

3 0

3 years ago