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PilotLPTM [1.2K]
3 years ago
6

How to solve this equation 8(4-x)= 7x+2

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0
8(4-x)=7x+2
32-8x=7x+2
-8x-7x=2-32
-15x=-30
x=-30:(-15)
x=2
answer:x= 2 
Andrews [41]3 years ago
3 0
8 ( 4 - x ) = 7x + 2
32 - 8x = 7x + 2
      -7x     -7x
--------------------------
32 - 15x = 2
-32           -32
----------------------------
-15x = -30
/-15      /-15

x = 2.
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AB is tangent to the circle k(O) at B, and AD is a secant, which goes through center O. Point O is between A and D∈k(O). Find m∠
drek231 [11]

Answer:

∠BAD=20°20'

∠ADB=34°90'

Step-by-step explanation:

AB is tangent to the circle k(O), then AB⊥BO. If the measure of arc BD is 110°20', then central angle ∠BOD=110°20'.

Consider isosceles triangle BOD (BO=OD=radius of the circle). Angles adjacent to the base BD are equal, so ∠DBO=∠BDO. The sum of all triangle's angles is 180°, thus

∠BOD+∠BDO+∠DBO=180°

∠BDO+∠DBO=180°-110°20'=69°80'

∠BDO=∠DBO=34°90'

So ∠ADB=34°90'

Angles BOD and BOA are supplementary (add up to 180°), so

∠BOA=180°-110°20'=69°80'

In right triangle ABO,

∠ABO+∠BOA+∠OAB=180°

90°+69°80'+∠OAB=180°

∠OAB=180°-90°-69°80'

∠OAB=20°20'

So, ∠BAD=20°20'

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3 years ago
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Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

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So, the length of ED is B. 18 cm.

Hope this helps!

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4 years ago
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