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uranmaximum [27]
4 years ago
9

If ABC=85,CBD=140 , and ,ABD=1/2x=30 find the value of x.

Mathematics
2 answers:
damaskus [11]4 years ago
8 0

If ABC=85,CBD=140 , and ,ABD=1/2x=30 find the value of x.

m∠ABD = m∠ABC + m∠CBD

m∠ABC = m∠ABD - m∠CBD

m∠ABC = 85° - m∠CBD

nexus9112 [7]4 years ago
5 0
Based on the given nomenclature of angles, I think the illustration would look like that shown in the attached picture. The common vertex is point B, that's why the middle point of the given angles is B. Now, according to Angle Addition Postulate, the individual interior angles should sum up to the total angle. So, the equation would be

m∠ABD = m∠ABC + m∠CBD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 85° - m∠CBD

Read more on Brainly.com - brainly.com/question/5023714#readmore
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olasank [31]

Answer:

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Step-by-step explanation:

Let:

T - shirts

S - shorts

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4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

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3 years ago
What do you do first on a graph in order to graph an equation
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Step-by-step explanation:

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3 years ago
If a person lnvests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years
Pie

Answer:

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Step-by-step explanation:

It is a compound interest, which means the interest accumulates on an initial amount each period.

The formula is A=P(1+R)^n

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A= 176.3193692

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2 years ago
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