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3 years ago

Find the measures of the numbered angles in the kite.

Mathematics

1 answer:

Sever21 [200]3 years ago

4 0

Answer:

m1=m2 = 111 degrees

Step-by-step explanation:

1. construct a line between angles 1 and 2

//now we have 2 triangles. They are both isoscles triangles.

3. m(base angles in 90 triangle) = (180-90)/2 = 45 degrees. (base angle th.)

4. m(base angles in 48 triangle) = (180-48)/2 = 66degrees. (base angle th.)

5. m1 = 66+ 45 = 111 degrees. (algebra)

6. m2=m1 = 66+45 =111 degrees (algebra)

check:

sum of all angles has to add up to 360 degrees.

48 + 90+ 111+111=360

360=360

You might be interested in

The equation of the line parallel to 3x-y=6 and passing through the point (3 , 2) is

never [62]

Answer: y=3x-7

Step-by-step explanation:

First you have to get the equation in slope intercept form by moving x over then dividing by -1 because y cannot be negative

Then since you're trying to find the line that is parallel you use the same slope which is 3x

You then plug in the points which is 2=3(3) + b for you are trying to find teh y intercept

You then solve as normal and get y=3x-7

I am pretty sure this is correct

7 0

3 years ago

What is 3 times the sum of x plus 2 is less than 10 as an inequality?

erica [24]

3(x+2) < 10 //// that should be right!!

7 0

3 years ago

Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

The correct question is

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

Find the value of x

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0

3 years ago

How can I solve this? Please use the simplest format

IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4

adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

= (4 × √3) / (√3 × √3)

= 4√3 / 3

Thus,

n = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

$m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}$

$m=\sqrt{\frac{4^2}{3}+4^2}$

$m=\sqrt{\frac{64}{3}}$

$m=\frac{8}{\sqrt{3}}$

$m=\frac{8\sqrt{3}}{3}$

Thus,

$m=\frac{8\sqrt{3}}{3}$

n = 4√3 / 3

Therefore, option D is true.

3 0

3 years ago

A system of equations is shown below.

Nimfa-mama [501]

-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)

(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)

Required equivalent system of equations is
-9x + 5y = 16
-16y = 64

5 0

3 years ago