All categories

3 years ago

Work out the size of angle y

Mathematics

1 answer:

DIA [1.3K]3 years ago

4 0

Answer:

Angle y= 108 degrees

Step-by-step explanation:

2x+16= 3x-12 (corresponding angles)

3x-2x=16+12

x=28

3(28)-12= 72

180-72=108 degrees

You might be interested in

How do you find the scale factor of a triangle

MatroZZZ [7]

Answer:

Divide one of the sides in the bigger triangle by its corresponding side in the smaller triangle to determine the scale factor for the smaller triangle to the bigger triangle.

5 0

3 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

34kurt

Answer:

$y = (x+4)^{2}+6$

Step-by-step explanation:

The parabola with vertex at point (h,k) is described by the following model:

$y - k = C\cdot (x-h)^{2}$

The equation which satisfies the conditions described above:

$y - 6 = (x+4)^{2}$

$y = (x+4)^{2}+6$

The two points are evaluated herein:

x = -6

$y =(-6+4)^{2}+6$

$y = (-2)^{2}+6$

$y = 4 + 6$

$y = 10$

x = -2

$y = (-2+4)^{2}+6$

$y = 2^{2} + 6$

$y = 4 + 6$

$y = 10$

The equation of the translated function is $y = (x+4)^{2}+6$ .

4 1

3 years ago

Read 2 more answers

Which shows a perfect square trinomial?

anastassius [24]

The answer is c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer

8 0

4 years ago

Read 2 more answers

I need help finding the measures of the other angles.

Alex Ar [27]

<7 and <10 are each 84 degrees

5 0

3 years ago

Read 2 more answers

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0

2 years ago

Work out the size of angle y​

Work out the size of angle y