Answer:
∠A=125°
Step-by-step explanation:
Well since the lines are parallel, ∠B is opposite ∠A which means ∠B=∠A
x=20°
Plugging x into the equation for ∠A.
∠A=125°
This is a trapezoid and the trapezoid formula is b1 plus b2/ 2 times height.
17 plus 5 is 22. Divided by 2 is 11.
Now, we have to multiply 11 by the height : 5.
11 times 5 is 55 and that is your area. 55 units squared.
Answer:the fraction of Mary's garden that has tulips is 2/3
Step-by-step explanation:
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
Answer:
rotation 90° CW about the origin we defined
Step-by-step explanation:
The image has the same orientation (clockwise order of vertices) as the pre-image, so an even number of reflections is involved. These cannot be reflections across the x- or y-axes. The longest edge has an east-west orientation in the pre-image and a south-north orientation in the image. Any reflections must have a net effect of a rotation 90° CW.
Equivalently, the image is rotated 90° clockwise from the pre-image.
With a suitable choice of center of rotation, the image can be obtained with a single 90° CW rotation transformation.
If we define the lower left corner of the pre-image as having coordinates (-1, 2), then a 90° CW rotation about (0, 0) will yield the image.
Answer He needs to wait to get his allowance twice.
Step-by-step explanation:
The average price of a game is around 45$. If Carlos gets 25$ a week its only 2 weeks to get a game. in other words: 2x25: 45
