Answer:
see explanation
Step-by-step explanation:
(1)
x + 20 and 45 are vertically opposite angles and are congruent, so
x + 20 = 45 ( subtract 20 from both sides )
x = 25
Similarly 5y and 135 are vertically opposite angles and are congruent
5y = 135 ( divide both sides by 5 )
y = 27
(2)
x + 30 and 70 are vertically opposite angles and are congruent, then
x + 30 = 70 ( subtract 30 from both sides )
x = 40
Similarly y + 50 and 110 are vertically opposite and congruent , so
x + 50 = 110 ( subtract 50 from both sides )
x = 60
the answer is b 1/8 because 3/4 = 6/8 and 7/8-6/8=1/8
Answer:
The correct answer is D- 29,544 ovens
Step-by-step explanation:
To find the answer, we simply need to find 20% of 24,620 ovens and add it to that sum. To find 20% of 24,620, we can simply multiply 24,620 by .2.
24,620*.2=4924
Then, add the extra 4924 to 24,620
4924+24620=29544
The correct answer is 29,544 ovens
Hope this helps! :D
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Answer:
The task is explained in detail below.
Step-by-step explanation:
We know that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of these three items at once (along with a ferry driver).
The driver will first transport the goat to the other shore and then return empty. Then they will take a bag of tin and transport it to the other shore, and then they will return with the goat to their original place.
Then he will leave the goat there and take a dog and carry it to the other shore and then return empty.
And eventually they will take the goat and transport it to the other shore.
