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3 years ago

Wegnerkolmp or someone who can explain maths please I need a proper explanation

Mathematics

1 answer:

umka2103 [35]3 years ago

6 0

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

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Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.

lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75

Total fruit sold = 50

Total Earned = $33.50

b + o + a = 50 Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a = $33.50 The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a = $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50 Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50 Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5 Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16

b = 2o

b = 2 (8)

b = 16 Which works! Now the last step of checking our work:

.5b + .75o + .75a = $33.50

.5(16) + .75(8) + .75(26) = $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50 Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0

3 years ago

Please help me grades all most here

Ghella [55]

Answer:

What about

Step-by-step explanation:

SUS :0000

jp I'm pretty sure its asa. forgive me if im wrong.

5 0

3 years ago

Graph the function f(x) = -x-8x-13

jekas [21]

Answer:

the answer is there...

5 0

3 years ago

Calculate interior angle of a regular 15 sided polygon

AleksAgata [21]

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = $\frac{sum}{n}$ = $\frac{2340}{15}$ = 156°

8 0

3 years ago

Ryan is performing an experiment. He starts with a solution that has a temperature of 12.2°C. He lowers the temperature 5 times

Anon25 [30]

Answer: The equation that can be used to find x, is given by

$-14.61^\circ C=12.2^\circ C-5x$

Step-by-step explanation:

Let the number of degrees he lowered the temperature by each time be 'x'.

Temperature he starts with = 12.2° C

Temperature he stopped with = -14.61° C

According to question, it is said that he lowers the temperature 5 times by the same amount each time.

So, it becomes,

$-14.61=12.2-5x\\\\-14.61-12.2=-5x\\\\-26.81=-5x\\\\\frac{26.81}{5}=x\\\\5.362^\circ C=x$

Hence, the equation that can be used to find x, is given by

$-14.61^\circ C=12.2^\circ C-5x$

8 0

3 years ago