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brilliants [131]
3 years ago
7

Measure the angle of 10x+10

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

We know that opposite angle are congruent.

10x + 10 = 11x + 3 \\  \\ 10x - 11x =  - 7 \\  - x =  - 7 \\ x = 7

So, We found out that x = 7,

So, Putting x = 7 in 10x+10

10 \times 7 + 10 \\  \\  = 70 + 10 \\  \\  = 80

So, The measure of angle 10x+10 is 80.

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In 1989, Dutch ice skater Dries van Wijhe skated 200 km at an average speed of 35.27 km/h. How long was he skating?
Flura [38]

Speed is determined as distance travelled over time. In the problem, given is the speed and distance. Time, we will be distance over speed. Substitute the given to the formula

t=d/s

t = 200 km / 35.27 km/h

t = 5.67 hours

8 0
3 years ago
Answer this math question
aalyn [17]

Answer:

Angle D is complementary to angle A

Step-by-step explanation:

Complementary angles sum to 90 degrees.

Since angle is B is 90 degrees, the sum of angles A and D are also 90 degrees to make a straight line with an angle measure of 180 degrees.

3 0
3 years ago
In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

<em>3   0.06 </em>

<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
Which of these numbers is composite? 41,77,83,89,97
makvit [3.9K]

Answer:

It's 41

Step-by-step explanation:

Therefore all numbers that end with five and are greater than five are composite numbers.

7 0
3 years ago
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Solve the system of nonlinear equations: <br><br> 4x - y = 4<br> x^2 - y = -1
rjkz [21]
(x1, y1) = (3,8)
(x2, y2) = (1,0)
6 0
3 years ago
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