All categories

3 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

2x+2x+124+124 = 360
4x+248 = 360
4x = 360 - 248
4x = 112
x = 112/4
x = 28

answer x = 28

Svetach [21]3 years ago

4 0

Let

$angle 1=2x$ °

$angle 2=2x$ °

$angle 3=124$ °

$angle 4=124$ °

we know that

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

$angle 1+angle 2+angle 3+angle 4=360$ °

$2x+2x+124+124=360\\ 4x+248=360\\ 4x=112\\ x=28degrees$

therefore

the answer is

$x=28degrees$

You might be interested in

Create the f(x) function based on the table. Your answer should be in function notation. X f(x) - 10 -6 -9 -5 1-8 -4 -7 1-3 5 9

Minchanka [31]

Answer:

$f(x) = x + 4$

Step-by-step explanation:

First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).

Using two pairs, (-7, -3) and (-8, -4),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-3)}{-8 -(-7)} = \frac{-1}{-1} = 1$

m = 1

To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.

Thus:

-3 = (1)(-7) + b

-3 = -7 + b

-3 + 7 = b

4 = b

b = 4.

Replace y with f(x), m with 1 and b with 4 in y = mx + b.

The function would be:

$f(x) = x + 4$

6 0

3 years ago

one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5

Goryan [66]

$x^{2} -2x-15=0$
P(-15)
s(-2)
$x^{2} -5x+3x-15$
=x(x-5)+3(x-5)
=(x+3)(x-5)
x=5

3 0

4 years ago

if point p is 3/8 of the distance from a to b, then point p partitions the directed line segment into what ratio from a to b? a.

Olegator [25]

Answer:

Step-by-step explanation:

6 0

4 years ago

Sin<br><br>sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°<br>HELP PLEASS FAST

ss7ja [257]

Answer:

-2.59x10^15

Step-by-step explanation:

5 0

3 years ago

Tom gets a bonus of 30% of £96. Sally gets a bonus of £31.40. Work out the difference between the bonus Tom gets and the bonus S

GarryVolchara [31]

Answer:

Tom's Bonus=£28.80

The difference in bonus rates is £2.60

Step-by-step explanation:

-Given Tom's bonus is 30% of £96

#We determine Tom's bonus in £s:

$B_T=0.3\times 96\\\\=\£28.80$

#From our calculations,Sally has a larger bonus than Tom:

$B_S>B_T\\\\B_S-B_T=31.40-28.80=\£2.60$

Hence, Tom gets a bonus of £28.80 and the difference in the bonus rates is £2.60

6 0

4 years ago