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2 years ago

Please solve!!!!!!!!! Thanks!

Mathematics

1 answer:

Nat2105 [25]2 years ago

4 0

Answer:

a) 60°
b) 80°
c) 100°
d) 50°
e) 30°

Step-by-step explanation:

The key here is that AB ║ EC. This makes arc AE have the same measure as arc BC. Since those have the same measure as AB and the three arcs together make a semicircle, each has measure 180°/3 = 60°.

Then the various arc measures are:

AB = 60°
BC = 60°
CD = 80° (given)
DE = 100° . . . . . since CDE is 180°
EA = 60°

Then your answers are ...

a) AE = 60°

b) ∠ABD = (1/2)(DE +EA) = (1/2)(100° +60°) = 80°

c) ∠DFC = (1/2)(CD +EB) = (1/2)(80° + (60° +60°)) = 100°

d) ∠P = (1/2)(DA -AB) = (1/2)(100° +60° -60°) = 50°

e) ∠PAB = (1/2)(AB) = (1/2)(60°) = 30°

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The square of a number plus three times the number is 70. find the numbers.

Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

$x^2+3x=70$

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

$x^2+3x-70=0$

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

$x^2+10x-7x-70=0$ and now we will factor by grouping:

$(x^2+10x)-(7x-70)=0$ and factor out what's common:

$x(x+10)-7(x+10)=0$

The factor (x + 10) is common, so we will now factor that out:

$(x+10)(x-7)=0$

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

$(-10)^2+3(-10)=70$ simplifies to

100 - 30 which does in fact equal 70. OR

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So you're done!

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2 years ago

Solution of the equation<br> 3x/5+1=4x/15+7

Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

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$\frac{3x}{5}$ = $\frac{4x}{15}$ + 6

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2 years ago

What is 3 over 4 + b = 3

FromTheMoon [43]

Answer:

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Step-by-step explanation:

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2 years ago

Which congruence statements are true? Choose all answers that are correct?<br><br> A: B: C: D:

tester [92]

Answer:

Correct choices are A and C

Step-by-step explanation:

Inscribed angles property: The inscribed angles subtended by the same arc are equal.

1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).

2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).

3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.

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2 years ago

As accounts manager in your company, you classify 75% of your customers as "good credit" and the rest as "risky credit" dependin

Elena-2011 [213]

Answer:

The percentage of overdue accounts are held by customers in the "risky credit" category is 62.5%

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That means that on average, 12.5% of total accounts is overdue.

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The percentage of overdue accounts held by customers in the "risky credit" category is:

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2 years ago