Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
99ft
A ------------------------- B
| |
20 ft | |
| |
C -------------------------- D
The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.
A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2
Now you solve for the square root of 10,201 to get C.
sqr (10,201) = C
C = 101 yards
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These are the concepts where you could use for the parentheses
If the 9 rulers is £4×2=8 so 18 is £8
Answer: she has 195 miles more to cover
Step-by-step explanation:
A salesperson has to drive 500 miles.
For the first three hours she drove at 65 miles/hour.
Distance = speed × time.
This means that distance covered in the first 3 hours is
65 ×3 = 195 miles
For the next two hours she drove at 55 miles per hour.
This means that distance covered in the next two hours is
55 × 2 = 110 miles
The total distance that the salesperson has to cover is 500 miles
Distance already covered is
195 + 110 = 305 miles
Distance remaining will be total distance - distance already covered. It becomes
500 - 305 = 195 miles
The quadrilateral BADC. AB = AD and BC = DC.
1.The AC and BD lines are perpendicular lines.
2.∠ACB = ∠ACD
Given that,
AB = AD and BC = DC in the quadrilateral BADC. This quadrilateral's symmetry line is the line AC.
1. We have to find how the diagonals AC and BD are perpendicular.
In the figure we can see the BADC quadrilateral and the lines AC and BD.
To prove they are perpendicular we have to prove that they have 90° all angles.
∠AOD is 90°.
∠AOB is 90°.
∠BOC is 90°.
∠DOC is 90°.
Therefore, we can say that AC and BD are perpendicular lines.
2.We have to find the angles ABC and ADC have same angles.
The BADC quadrilateral
AB= AD
BC= DC
This quadrilateral's symmetry line is AC.
Think about the triangles BAC and DAC.
These triangles contain
AB = AD
BC = DC
AC = AC - reflexive property
So, the SSS postulate of ΔBAC ≅ ΔDAC
Congruent triangles have comparable sides and angles that are also congruent, so ∠ACB = ∠ACD
Another concept: The line that separates the figure into two identical figures is the line of symmetry. As a result, ΔBAC and ΔDAC share the same properties (are congruent) and have the same corresponding sides and angles.
To learn more about quadrilateral visit: brainly.com/question/13805601
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