All categories

3 years ago

What’s the size of angle x

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Answer:

65 degrees.

Step-by-step explanation:

It's hard to explain, but I'll try:

The outside of the first two angles is 105 and 140. Half a whole angle is 180. So, you do

180-140=40. The inside is 40.

And then 180-105=75.

Then you add the two and subtract them from 180:

40+75= 115

180-115=65

Voila!

You might be interested in

Rewrite this radicand as two factors, one of which is a perfect square.

seropon [69]

Answer:

$2 \sqrt{15}$

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

$\sqrt{2 \times 2 \times 3 \times } 5$

2) group the smae prime factors into pairs.

$\sqrt{(2 \times 2)} \times 3 \times 5$

3) Rewrite each pair in exponent form.

$\sqrt{ {2}^{2} \times 3 \times 5 }$

4) use this role:

$\sqrt{ {x}^{2} } = x$

$2 \sqrt{3 \times 5}$

5) Simplify.

$4 \sqrt{15}$

So, therefor, the answer is option 1.

5 0

3 years ago

Read 2 more answers

Simplify the expression - 1/2(5/6+1/3)

mel-nik [20]

Answer:

- 7/12

Step-by-step explanation:

- 1/2 ( 5/6 + 1/3 )

- 1/2 ( 5/6 + 2/6)

- 1/2 ( 7/6 )

- 7/12 or - 0.58

8 0

3 years ago

Y= -1.4 -1 x intercept?

eimsori [14]

Answer:

b = -1.4

Step-by-step explanation:

5 0

3 years ago

Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$

8 0

3 years ago

Can any one help me with this problem

katrin [286]

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)

3 0

3 years ago