Answer:10
Step-by-step explanation:
2.2512*10^8 let me know if its wrong
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of 
.
Step-by-step explanation:
To construct a perpendicular for , we must first take a compass & take the distance of its arms wider than half the length of .
This is done in order to get two intersecting arcs in the top & bottom of so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above , draw a line joining these 2 points through their points of intersection. The point where it intersects is the middle-most point of & now a perpendicular bisector of is constructed.
Answer:
100
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 + 1 = 10 parts
Fiona gets 40 sweets which is 4 parts of the ratio
Divide Fiona's share by 4 to find the value of one part of the ratio
40 ÷ 4 = 10 ← 1 part of the ratio
The total number of sweets is 10 parts , thus
number of sweets in total = 10 × 10 = 100
