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3 years ago

5

Change the radians to degrees

1 answer:

Ivan3 years ago

5 0

The method of changing a degree to a radian is to multiply with 1/180

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Trapezoids and kites

lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 36\degree +70\degree+m$ .

$\Rightarrow 106\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

$|RH|^2=12^2+20^2$

$|RH|^2=144+400$

$|RH|^2=544$

$|RH|=\sqrt{544}$

$|RH|=4\sqrt{34}$

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

$\Rightarrow m$

QUESTION 7

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

$|BC|^2=4^2+7^2$

$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

$\Rightarrow |BC|=\sqrt{65}$

QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

6 0

3 years ago

Which term describes the slope of the line below?

saul85 [17]

Answer:

negative

Step-by-step explanation:

looking at the slope of the straight line, a positive slope will begin on the 1st quadrant and end at the 3rd quadrant

meaning if the slope is negative, it will begin on the 2nd quadrant and end on the 4th quadrant

5 0

3 years ago

Read 2 more answers

The x3 was supposed to be an exponent not 3x

mote1985 [20]

Answer:

The value of x is $2\sqrt[3]{2}$

Step-by-step explanation:

We are given $2+x^3=18$

We need to solve for x

First we subtract 2 both sides

$x^3=18-2=16$

Taking cube roots both sides to isolate x

$x=\sqrt[3]{16}$

Simplify the radical

$x=2\sqrt[3]{2}$

Thus, The value of x is $2\sqrt[3]{2}$

8 0

3 years ago

Can you help me please

leonid [27]

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

8 0

3 years ago

HELP AGAIN!!! Plzzzzz thank you!!!

never [62]

Absolute value of -1/3 is 1/3

6 0

3 years ago