Answer: 312 balcony seats and 396 ground seats
Step-by-step explanation:
Multiplying the second equation by 10, we get 10b+10g=7080.
Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.
Thus, g=396.
The length of the walkway along the diagonals is 112 feet.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that,
a rectangular plot of land is 100 feet long and 50 feet wide.
Length = 100 feet
Width = 50 feet
Length along the diagonal can be found using the Pythagoras Theorem.
Length and width of the rectangle can be taken as the legs and diagonal is taken as the hypotenuse.
Length of the diagonal = √(100² + 50²) = √12500 = 111.8 ≈ 112 feet
Hence the length of the walkway is 112 feet.
Learn more about Pythagoras Theorem here :
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The first one is always what is given.
Then work through the rest.
See the attached picture:
Answer:
This one is actually in order already.
First box to A.
Second box to B
Third box to C.
Fourth box to D.
Fifth box to E.
Step-by-step explanation:
You always start with the given. So the first box goes to A.
The second box goes with B. When angle is bisected it is cut into two congruent halves. That means that left part of the angle of A has an equal measurement to that of the right part of the angle of A. So Angle BAD is congruent to Angle CAD.
Those base angles are B and C even though it isn't written there.
x (related) x is the reflexive property. This is what you have here where the related part is the congruence and the element being talking about is AD on both sides. So The third box goes with the reflexive option. The third box goes with C.
So you have by the given that AB and AC are congruent; those are the left and right leg of the big triangle.
You also have that Angle's BAD and CAD are congruent (those are the angles at the top in the two different triangles. You also have that they share the side right after.
So you are given 2 corresponding sides are congruent and the angle right between them in each is congruent.
We have enough information to prove the triangles are congruent by SAS. This fourth box should be matched with D.
Lastly, since the triangles are already congruent by SAS, then the other remaining corresponding sides are congruent and the other remaining corresponding angles are congruent. So Angle B and Angle C are congruent due to corresponding parts of congruent triangles are congruent. Last box is to be matched with E.
B.324 m2
C.5832 m2
D.1944 m2
Answer:
D i took the test
Step-by-step explanation:
Answer:
-49/60.
Step-by-step explanation:
To simplify the expression -3/5 x 5/16 x 7/12 ÷ -3/16 x -5/7, we can follow these steps:
1. Multiply the numerators and denominators of all the fractions together:
(-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x -5) / (16 x 7)
2. Simplify the multiplication of the numerators and denominators separately:
-105 / 960 ÷ 15 / 112
3. When dividing fractions, we can multiply by the reciprocal of the second fraction:
-105 / 960 x 112 / 15
4. Multiply the numerators and denominators together:
(-105 x 112) / (960 x 15)
5. Simplify the multiplication:
-11760 / 14400
6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
-49 / 60