Answer:
(-4/7 , 23/7) hope this helps
Answer:
3
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
Given that angle Y = 90 means that the triangle is a right angle triangle
If angle X = 30 degrees and xz =18 cm
xz is the hypotenuse side while zy is the opposite side considering the angle at X
Hence using the notation SOH CAH TOA
SOH
Sin X = zy/xz
Substituting
Sin 30 = zy/18
cross multiply
zy = 18 sin 30
zy = 18 * 0.5
= 9 cm
The answer is 180mm^2. (B)
First, we can decompose the shape into a rectangle and a parallelogram. Let’s start with the rectangle.
Formula for a rectangle: bh
The base is 6 while the height is 12. You multiply like so. 6*12=72.
The area of the rectangle is 72.
The formula of a parallelogram is the same as the rectangle. (Bh)
To identify the base in this parallelogram, you would subtract the whole base length, 15 by half of the base length, 6.
15 - 6 = 9.
So the other half base length is 9.
You can simply transform a parallelogram into a rectangle by decomposing the parallelogram into two right triangles and a rectangle. You would take the right triangle at the bottom of the figure and move it to the top of the parallelogram in the photo. Thus, becoming a rectangle.
Now, we can identify the base and the height. The base of the parallelogram is 9 while the height is 12.
You would then multiply 9 by 12 like so to get 108.
After finding the area of the rectangle and parallelogram, you would add them up.
72 + 108 = 180mm^2
Therefore, making the answer choice B.
Look at the picture.
Corresponding Angles are equal.
Alternate Angles are equal.
Consecutive Angles add up to 180°.
----------------------------------------------------------------------
3a and 45 are Consecutive Angles. Therefore
3a + 45 = 180 |subtract 45 from both sides
3a = 135 |divide both sides by 3
<h3>a = 45.</h3>
----------------------------------------------------------------------
(2c - 1) and 45 are Corresponding Angles. Therefore
2c - 1 = 45 |add 1 to both sides
2c = 46 |divide both sides by 2
<h3>c = 23.</h3>
----------------------------------------------------------------------
3a and (12b + 3) are Alternate Angles. Therefore
3(45) = 12b + 3
135 = 12b + 3 |subtract 3 from both sides
132 = 12b |divide both sides by 12
<h3>b = 11.</h3>
