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iragen [17]
3 years ago
5

Simplify the expression by combining any like terms.

Mathematics
2 answers:
algol133 years ago
7 0

Answer:

D. 5x+ y

1x + 4x = 5X

-6y + 7y = Y (1y)

Step-by-step explanation:


gavmur [86]3 years ago
5 0
D. 5x+ y

1x + 4x = 5X

-6y + 7y = Y (1y)
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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
In an ore, 9.8% of its total weight is metal. How many pounds of metal are in 1,950 lb of ore?
Fudgin [204]

Answer

Find out the  how many pounds of metal are in 1,950 lb of ore .

To proof

let us assume that the pounds of metal are in 1,950 lb of ore be x .

As given

In an ore, 9.8% of its total weight is metal.

ore weight = 1,950 lb

9.8% is written in the decimal form

= \frac{9.8}{100}

= 0.098

Than the equation becomes

x = 0.098 × 1950

x = 191.1 pounds

Therefore the 191.1 pounds of metal are in 1,950 lb of ore .

Hence proved



5 0
3 years ago
If 8 feet of fencing costs $12.40 , how much does 36 feet of fencing cost?
Vesnalui [34]

Answer:

$55.80

Step-by-step explanation:

8, 16, 24, 32, 36

8=12.40, 16=24.80, 24=37.2, 32=49.6,

+4 makes it 36 so it's have of 8, so add 6.20 to the end and it's 55.80

6 0
3 years ago
What happens to a number when you multiply by 1000? Why does this happen?
Elis [28]

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

8 0
2 years ago
What is 5.75% of $6,000? (Express answer as dollars as cents.)
Len [333]
6000*0.0575=345
Final answer: $345.00
6 0
3 years ago
Read 2 more answers
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