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3 years ago

Find the value of x in the isosceles triangle shown below. Help plzzzz

Mathematics

1 answer:

zysi [14]3 years ago

6 0

Answer:

x =2

Option D is correct !!!

Step-by-step explanation:

By Pythagoras theorem we can solve this

we know that:

${x}^{2} + {4}^{2} = \sqrt{20} {}^{2}$

${x}^{2} = \sqrt{20} ^{2} - 16$

${x}^{2} = 20 - 16$

$x = 2$

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Find the quotient and reduce to lowest terms: ((x²-4)/(3x)) ÷ ((x-2)/(2x)).

DENIUS [597]

Answer: 2/3 * (× + 2 )

Step-by-step explanation:

((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ×² - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]

Simplifying by x [ 2 * ( ×² - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }

Simplifying by ( ×+2) 2/3 * (× + 2 )

3 0

3 years ago

Arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12

blsea [12.9K]

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

6 0

2 years ago

A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

substitute

$A=(9)(3)=27\ mm^2$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=\frac{1}{2}(3.14) (4.5)^{2}$

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

4 0

3 years ago

Read 2 more answers

Item C sold for 5$ and item D sold for 7 you sold a combined total of 60 of item c and D and you made 400$ how many of each item

Aneli [31]

Answer:

50 of D and 10 of C

Step-by-step explanation:

First of all, put this data into 2 equations.

You sold 60 items, so C+D=60

C is $5 so we can represent it by 5C

D is $7 so we can represent it by 7D

You made $400 total from C and D, so 5C+7D=400

We can use simultaneous equations to solve this.

To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.

5(C+D=60) (make sure you multiply both sides.)

so 5C+5D=300

5C+7D=400

Now we solve it:

5C-5C+7D-5D=400-300

7D-5D=100

2D=100

D=50

Now we can substitute this with one of the equations to find C

C+50=60

C=60-50

C=10

so, (10x5)+(50x7)=400

4 0

3 years ago

Find value of X. Please show steps:)

Viefleur [7K]

10 degrees is in a 90 degree angle
90-10 =80
use sin
sin(80)=9/x
get x alone
x=9/sin(80)

4 0

3 years ago