Answer:
<em>x=8</em>
Step-by-step explanation:
2(2x+7)=46
2x+7=46/2=23
2x=23-7=16
x=16/2=8
The answer is B.
complementary means adding upto 90 degrees, but they dont unless they're both 45 degrees, so its not A.
they are not supplementary because that means they add up to 180 degrees and they dont unless theyre both 90 degrees, so its not C.
there IS a relationship between the measures of corresponding angles, so its not D.
the relationship between them is that they are always the same, so the answer is B.
Answer:
<u>384 cm²</u>
Step-by-step explanation:
Property of rhombus :
- Diagonals of rhombus bisect each other and are perpendicular to each other
Given :
- Rhombus ABCD and its diagonals AC and BD bisect each other at O
- AC ⊥ BD
- AB = BC = CD = DA = 20 cm
- AC = 24 cm
Solving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
- 2 × 1/2 × OB × AC
- 24 × OB
- 24 × √AB² - AO²
- 24 × √20² - (AC/2)²
- 24 × √400 - 144
- 24 × √256
- 24 × 16
- <u>384 cm²</u>
Answer:
131.41 degrees
Step-by-step explanation:
Given the equation
5(sinθ+3) = sinθ+12
5sinθ+15 = sinθ+12
5sinθ-sinθ = 12 - 15
4sinθ = -3
sinθ = -3/4
θ = arcsin(-0.75)
θ = -48.59 degrees
Since sin is negative in the 3rd quadrant
α = 180 + θ
α = 180 - 48.59
α = 131.41degrees
Hence the required angle is 131.41 degrees
Answer:
43 stitches.
Step-by-step explanation:
We have been given that each pant's leg has an opening with a circumference of 8.5 inches. It took 15 stitches to make 3 inches in width. We are asked to find the number of stitches required to make up the circumference.
Let us find stitches needed to make 1 inch by dividing 15 by 3.


Since 5 stitches make 1 inch, so to find stitches needed to make 8.5 inches, we will multiply 8.5 by 5 as:


Upon rounding to nearest stitch, we will get:

Therefore, 43 stitches will make up the circumference.