After the cataract took Euler's sight, he...?

snow_lady [41]

In the above givem figures all the angles can be found by complementary pair of angles.

What do you mean by complementary pair of angles?

There are basically two types of pair of angles i.e. Supplementary & Complementary.
Supplementary means that sum of two angles is 180°. It is also known as linear pair of angles. It is always formed on straight line.
Complementary pair of angle is that when sum of both angles is 90°. It is formed when a right angle is bisected.

<h3>Fun Fact: All angles of a square and rectangle are of 90°.</h3>

∠A+45°=90°

∠A+45°=90° ∠A=90°-45°

∠A+45°=90° ∠A=90°-45° ∠A=45°

Hence, ∠A is 45°

 ∠B+65°=90°

 ∠B=90°-65°

 ∠B=25°

Hence, ∠B is 25°

 ∠C+52°=90°

 ∠C=90°-52°

 ∠C=38°

Hence, ∠C is 38°

 ∠D+40°+34°=90°

 ∠D+74°=90°

 ∠D=90°-74°

 ∠D=16°

Hence, ∠D is 16°

3 0

3 years ago

Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 )

kati45 [8]

Answer:

$y=\frac{1}{2}x-6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (2,-5) and (8,-2)

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}$

Therefore, the slope of the line is $\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{1}{2}x+b$

Plug in one of the given points and solve for b

$-5=\frac{1}{2}(2)+b\\-5=1+b$

Subtract 1 from both sides to isolate b

$-5-1=1+b-1\\-6=b$

Therefore, the y-intercept of the line is -6. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6$

I hope this helps!

6 0

3 years ago

One serving of soybeans contains 14 grams of protein and 8 grams of fat. One serving of rice contains 4 grams of protein and 1/2

mina [271]

Answer: 1.8 servings of soybean and 1.2 servings rice will be needed.

Step-by-step explanation:

Let x be the number of soybeans and y be the number of rice.

Then , According to the question , we have

$14x+4y=30\\\Rightarrow\ 7x+2y=15..................................(1)\\\\ 8x+\frac{1}{2}y = 15\\\Rightarrow\ 16x+y=30.............................(2)$