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3 years ago

In ΔIJK, the measure of ∠K=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of ∠I to the nearest tenth of a degree.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

Step-by-step explanation:

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Solve by the elimination method

Usimov [2.4K]

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

$6x= 64+2y\\2x= -7-5y$

Rearranging the equations:

$6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)$

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

$30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9$

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

$12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5$

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

#learnwithBrainly

5 0

3 years ago

Need to know a number bio for 5/8 break apart 3 ways

Fynjy0 [20]

Answer:

.208333... (as a fraction 5/24)

Step-by-step explanation:

5 divided by 8 = 0.625

.625 divided by 3 = .208333...

5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

7 0

3 years ago

Find the area of the triangle. Enter your answer in the box. An obtuse triangle. The base of the triangle is fourteen millimeter

Jet001 [13]

Answer:

Step-by-step explanation: Formula to find an area of a triangle A= 1/2base x height

Data

h=12mm A=1/2 base x height

b=14mm. A= 1/2 x (14mm x 12mm)

A=? A= 168mm^2(square) /2

A= 84mm square

4 0

3 years ago

the store is 5/6 mile from yuri's house. the bank is 2/5 the distance from yuri's house to the store, how many miles is the bank

ladessa [460]

Distance of bank from yuri's house=(5/6)*(2/5)=2/6=1/3 mile

6 0

3 years ago

Read 2 more answers

a girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. determine the girl’s displacemen

kozerog [31]

She on the north side

5 0

3 years ago