Evaluate \dfrac p4 +pq
4
p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6.

2³=8

so answer is 2

use calculator incase you have one

but my answer totally correct worry less and input

9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

Step-by-step explanation:

[tex] {9}^{ \frac{ - 1}{2} } \\ {3}^{2 \times - \frac{1}{2} } \\ {3}^{ - 1} \\ \frac{1}{3} [/tex]

Now for another

[tex] {27}^{ \frac{ - 2}{3} } \\ {3}^{3 \times \frac{ - 2}{3} } \\ {3}^{ - 2} \\ \frac{1}{9} [/tex]

Hope it will help :)❤

Answer:

Maybe M' (3, -2)

Step-by-step explanation:

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

Answer:

4z:5p

4+5=9

10/9=1.11111...

1.11111*5=5.55555......or 50/9 or 5 5/9

Step-by-step explanation:

Answer:

guess what I don't know

Step-by-step explanation:

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/5 + 1/3 = 17/15 decimal form: 1.13 mixed number form: 1 2/5

1/2 + 2/5 = 9/10 decimal form: 0.9

3/4 + 7/10 = 29/20 decimal from: 1.45 mixed number form: 1 9/20

5/6 + 3/5 = 43/30 decimal form: 43/30 decimal form: 1.43 mixed number form: 1 13/30

1/5 + 1/4 = 9/20 decimal form: 0.45

1/4 + 5/9  = 29/36 decimal form: 0.805

2/3 + 7/8 = 37/24 decimal form: 1.5416 mixed number form: 1 13/24

Mark me as brainliest please

Step-by-step explanation:

1500(1+2.5/100)^3

or do 100+2.5=102.5

102.5÷100=1.025

1500×1.025^3

Answer:

X=4

Third bubble

Answer:

5cm

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Answer:

5) A

6) D

Step-by-step explanation:

for 5) I did just looked up online

2.5% of 25,000

and I added it to 25,000

which was 26,265.625

so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21

for 6) I did similar to 5) but I used the numbers that were given

I looked up 4% of 1,250 and I did that twice and got $1,352.55

hope that helped ;)

Answer:

70%

Step-by-step explanation:

ehhh dont know, my teacher told me

Step-by-step explanation:

10 gallons of gas is $29.50

10 gallons of gas = $29.50

10 gallons of gas / 10 = $29.50 / 10

1 gallon of gas = $2.95

Per x gallons of gas,

1 gallon of gas * x = $2.95 * x

x gallons of gas = $2.95 * x

Answer:

Step-by-step explanation:

2 tablespoons of yeast and four cups of flour

Answer:

A recipe for bread calls for 4 cups of flour, 1 pint of water, 2 tablespoons of yeast, and 1 teaspoon of salt. The diagram below represents 1 batch of bread.

Answer:

the first number is 200

the second number is 10

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get 3/9

Hope this helps!!

Answer:

18.45

Step-by-step explanation:

You multiply 2.25 by 8.2

1 pound/$2.25

x 8.2       x 8.2

Answer: 8.2 pounds/$18.45

Alice purchased $18.45 of 8.2 pounds of cherries.

Step-by-step explanation:

Share 20pounds in the ratio 2:3

Total ratio=2+3=5

2/5×20=8

20-8=12

Sharing 20pounds in that ratio gives 8pounds:12pounds

Share 15cm in the ratio 1:3

Total ratio=1+4=4

¼×15=3.75

15-3.75=11.25

Sharing 15cm in that ratio gives 3.75:11.25

Answer:

ASA i believe

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The two equations you have are:

y = 3x - 7

x = 1 (this comes from the x value being 1)

To solve for y, use the substitution property of equality to replace x in the equation:

where x = 1,

y = 3(1) - 7

y = -4

Answer:-4

Step-by-step explanation:bc khan

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

no he won't have enough money. he's 1.50 short

Answer:

I believe its X=15Y+50

Step-by-step explanation:

Answer:

15.09

Step-by-step explanation:

with reference angle 28°

perpendicular (p) = 8

base (b) = x

Now

tan 28° = p / b

0.53 = 8 / x

x = 8 / 0.53

x = 15.09

Answer:

i cant answer if i dont know how much books she wants to donate

Answer:

How much is she donating ?

Step-by-step explanation: