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olya-2409 [2.1K]
3 years ago
12

If ADE ABC in this diagram, which pair of ratios must necessarily be equal?

Mathematics
2 answers:
ad-work [718]3 years ago
8 0

Answer:

\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}

Step-by-step explanation:

we know that

Triangle ADE and Triangle ABC are similar

therefore

the ratio of their corresponding sides are equal

so

\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}

solong [7]3 years ago
4 0
From the diagram, the the pair of ratios that should be equal is the ratio between the sides of each triangle. For instance,

AE/EC = AD/DB

This ratio of the lengths should be equal so that the figure can be true. Hope this answers  the question.
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A stadium has 55,000 seats. Seats sell for ​$28 in Section​ A, ​$16 in Section​ B, and ​$12 in Section C. The number of seats in
salantis [7]
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C

We can suggest this system of equations:

A+B+C=55,000
A=B+C                                      ⇒A-B-C=0
28A+16B+12C=1,158,000

We solve this system of equations by Gauss Method.

1             1              1               55,000
1            -1            -1                         0
28         16           12          1,158,000 


1             1              1               55,000
0            -2             -2             -55,000                                    (R₂-R₁)
0           12             16           382,000                                    (28R₁-R₂) 


1            1                1              55,000
0           -2              -2             -55,000
0            0                4               52,000                                     (6R₂+R₃)

Therefore:

4C=52,000
C=52,000/4
C=13,000


-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.

A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.

Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
3 0
3 years ago
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