3 years ago

Heloo i really need help! any helo would he appreciated!

Mathematics

2 answers:

yarga [219]3 years ago

7 0

Answer:

BC = 50

Step-by-step explanation:

AB and AD are congruent, thus

AB = AD, that is

5x + 10 = 3x + 18 ( subtract 3x from both sides )

2x + 10 = 18 ( subtract 10 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

BC = 12x + 2 = 12(4) + 2 = 48 + 2 = 50

trapecia [35]3 years ago

6 0

Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2 Find the measure of angle DPA

we know that The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

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