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valina [46]
3 years ago
8

Calculate the length of the segment labeled x. Х 8 A- 12 20

Mathematics
2 answers:
Maslowich3 years ago
8 0
Answer:

x = 8.


Explanation:

The external secent line theorem says,
S1E1 = S2E2.

Secent s1 and s2.
External E1 and E2.

E2 = 12.
S2 = 32

S1 = 8 + x.
E1 = 8.

12*32 = 8(8+x).
384 = 8(8+x).
48 = 8+x
x = 40.
IgorLugansk [536]3 years ago
7 0

Answer:

x = 40

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20)

8(8 + x) = 12 × 32 = 384 ( divide both sides by 8 )

8 + x = 48 ( subtract 8 from both sides )

x = 40

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The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.
iren [92.7K]

Answer:


Step-by-step explanation:

S=student cost; T=teacher cost

.

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

.

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

.

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.


.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50


4 0
3 years ago
The swimming pool shown below has a 6 foot wide concrete deck around it.
padilas [110]

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

7 0
2 years ago
The product of two consecutive, negative integers is 182. What equation represents the situation?
Sholpan [36]
-13 and -14

They both are consecutive negative integers that multiply to 182.
4 0
4 years ago
Read 2 more answers
Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

( -5u + 10 u =5u)

3 0
3 years ago
Help me to simplify; <br> log_{5} 12.5+log_{5}10
liq [111]

Answer:

15.726

Step-by-step explanation:

log 5=0.698×12.5

=8.737

=0.698×10

=6.989

=8.737+6.989

=15.726

8 0
3 years ago
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