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telo118 [61]
4 years ago
14

Triangle that has 60, 30, 90 triangle. Ab= 10, AC=5 what is BC

Mathematics
1 answer:
lesantik [10]4 years ago
7 0

Answer: BC = √75 unit

Step-by-step explanation: AB = 10 unit  AC = 5 unit

∴ BC = 10² - 5²

= 100 - 25 = 75

BC = √75 unit

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3 years ago
Solve the simultaneous equation<br> 4x-y=9 <br> 2x-3y= -23
MrMuchimi

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

4 0
3 years ago
Suppose that LMN is isosceles with base LN suppose that M
ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

m\angle M=(39+17)^\circ

m\angle M=56^\circ

And,

m\angle N=m\angle L

m\angle N=62^\circ

Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

5 0
3 years ago
Simplify: -6( 5 /3 x + 4)
yaroslaw [1]

Answer:

-10x-24

Step-by-step explanation:

-6(\frac{5}{3}x+4)

-6*\frac{5}{3}x+-6*4

-10x-24

8 0
3 years ago
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