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blsea [12.9K]
3 years ago
14

Solve for x. 78.2 +0.5x = 287

Mathematics
2 answers:
Step2247 [10]3 years ago
8 0

Answer:

417.6

Step-by-step explanation:

In order to solve for x, you have to get x by itself.

78.2 + 0.5x =287                 (First, you subtract 78.2 on both sides)

-78.2             -78.2

0.5x/0.5= 208.8/0.5           (now, you divide both side by 0.5)

Leaving with,

x = 417.6

so, x equals to 417.6

Rzqust [24]3 years ago
3 0

Answer:

Step-by-step explanation:

0.5x=208.8

x=417.6

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MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
Varvara68 [4.7K]

Answer:

\sf \: Proved \: \angle \: OAD  \:  =  \angle \: OCD

Step-by-step explanation:

<em>Given:</em>

Mn is diameter of circle having centre O

and BD = OD,

<em><u>To prove that:</u></em>

<u>\angle \: OAD  \:  =  \angle \: OCD</u>

<em>Solution:</em>

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

\angle \: OBD  \:  =  \angle \: OCD

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

\angle \: OBD  \:  =  \angle \: OAB \\ \angle \: OAB  \:  =  \angle \: OAD (same \: angles) \\ \angle \: OBD  \:  =  \angle \: OAD

Consider above prove as statement B

From Statement A & B we can say that

\angle \: OAD  \:  =  \angle \: OCD

<em>Thanks for joining brainly community!</em>

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y = 3x - 1

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