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aleksley [76]
3 years ago
13

If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

3

Step-by-step explanation:

let n be the number, then

\frac{10}{7+n} = 1 ← multiply both sides by 7 + n

10 = 7 + n ( subtract 7 from both sides )

3 = n

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10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
How many hundreds in 43617
Nana76 [90]
There are 436 hundreds in 43617.
You can find this by dividing 43617 by 100 and rounding down to the nearest whole number (note: with this method, you have to round down).

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Please help me ASAP with this math problem
ser-zykov [4K]

Answer:

Root( c square -9)

Step-by-step explanation:

The answer u have is the answer for a^2

8 0
3 years ago
Read 2 more answers
Create a budget that will allow you to save at least $100 by the end of October.
insens350 [35]

According to the updated budget, the net income should be at least $2100.

A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.

The following list explains why the figures shown above are accurate:

The factors for the costs in the previous budget are;

Net income =$1,850.00

Cost of rent =$600

Gas, vehicle payment, and insurance together = $475.

Cost of phone, online world, and utility companies = $230.

Cost of grocery stores= $300

Cost of amusement= $50

Cost of homeowners insurance = $20.

$75 has been set aside for recreational expenditures.

Net monthly savings = $100.

Modifications to the spending plan:

$50 is the allotted sum for a computer system.

Monthly net savings = $300

∴Savings increases= $300-$100=$200

Previous net income+ cost of computer system+ 200(extra savings than previous)

= $(1850+50+200)

=$2100

So,Net earnings = $2,100

Learn more about the budget plan:

brainly.com/question/22057981?referrer=searchResults

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3 0
2 years ago
What is the surface area of the prism? A. 180 in2 B. 204 in2 C. 120 in2 D. 192 in2
alukav5142 [94]
Asking the Math Gods...

B. 204in^2

<span><span>Surface Area (SA) =√3 * a²+ 3 * a * h</span>2 </span><span />


8 0
3 years ago
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