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2 years ago

Please help me to solve all the questions would appreciate it if its with full working

Mathematics

1 answer:

Degger [83]2 years ago

4 0

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Corresponding Angles are always congruent,
Alternate Angles are always congruent, and
Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

2. The name given to the triangle mentioned above is Obtuse

Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
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Describe the translation from AB TO AB

Juliette [100K]

→A = (-5,1)

A' = (4,3)

so x moved from -5 to 4 which is an increase of 9

so x+9

y moved from 1 to 3 which is an increase of 2

so y+2

so answer should be:

(x,y) → (x+9,y+2)

7 0

3 years ago

Help pls ( I took a picture)

almond37 [142]

Answer:

The domain is [0,25] and the range is [0,20]

Step-by-step explanation:

The domain is the range of numbers and that the x value can be in the graph. The range is the range of numbers that the y value can be in the graph.

For the domain, the lowest x value you have is zero in the biggest x value is 25. since there is a dot when x is 25 and when x is 0 your answer is in brackets.

For the range, the lowest y value is 0 and the highest y value is 20. once again your answer is in brackets because there is a point when y is 0 and when y is 20.

3 0

3 years ago

Baker, Inc. uses the sum-of-the-years’-digits method to depreciate a $79,600.00 piece of equipment that has an estimated life of

Anton [14]

Using the sum of the years digits method

Step 1:

We sum up all the digits of the estimated life of equipment.

i.e. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

Step 2:

We count the years spent from the back. i.e. year 2 is equivalent to 19 in the years digits.

Given that the cost of the equipment is $79,600.00 with a salvage value of $4,000.00. This means that the depreciable amount of the equipment is given by $79,600.00 - $4,000.00 = $75,600.00

The depreciation charge on the equipment for year 1 is given by

$\frac{20}{210} \times\$75,600=\$7,200$

while the depreciation charge on the equipment for year 2 is given by

$\frac{19}{210} \times\$75,600=\$6,840$

The book value of an equipment is given by the cost of the equipment minus the accumulated depreciation.

Therefore, the book value of the equipment at the end of year 2 is given by

$79,600 - $7,200 - $6,840 = $65,560

6 0

4 years ago

The spring sale at a local store advertises one price for all items in a particular department. You buy 5 small pots and q packa

Nastasia [14]

Answer:

3*(5 + q) = 15 + 3*q

Step-by-step explanation:

The distributive property is:

A*(B + C) = A*B + A*C

We know that you buy 5 small pots and q packages of seeds for $3 each.

And we know that the equation that models the cost is:

3*(5 + q)

Now we can simply apply the distributive property to rewrite this expression as:

3*(5 + q) = 3*5 + 3*q = 15 + 3*q

So the equivalent expression is: 15 + 3*q

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3 years ago

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kupik [55]

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3 years ago

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