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saw5 [17]
3 years ago
7

I want the answer and way to do this problem.

Mathematics
1 answer:
user100 [1]3 years ago
8 0

∠ABC = ∠CDA (given)

∠BCA = ∠DAC (given)

CA = AC (common side)

ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.

Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.

Therefore, △ABC ≅ △CDA under the ASA congruence criterion.

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X + 4y = -9 . . . (1)
2x + 5y = -6 . . . (2)

From (1): x = -9 - 4y . . . (3)

Substituting (3) into (2) gives, 2(-9 - 4y) + 5y = -6
-18 - 8y + 5y = -6
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spayn [35]

Answer:  three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

  • 66%, 69%, 72%;
  • 63%, 65%, 67%, and
  • 67%, 72%, 77%

Explanation:


1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day        Intensisty

1             63%

2            equal ⇒ 63%

3            equal ⇒ 63%


2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.


2) For the next three visits, the program recommensd increasing intensities.


There are three options that show 3 consecutive increases; they are:

  • 66%, 69%, 72%;
  • 63%, 65%, 67%, and
  • 67%, 72%, 77%

Therefore, those are the choices that apply.

4 0
3 years ago
Please help me..thank you
Sergio039 [100]

Answer:

  7π cm² ≈ 22.0 cm²

Step-by-step explanation:

The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.

The formula for the area of a circle is

  A = πr²

Using this, we find ...

  Circle B area = π(3 cm)² = 9π cm²

  Circle C area = Circle O area = π(1 cm)² = π cm²

Then the shaded area is ...

  Shaded Area = Circle B area - Circle C area - Circle O area

  = (9π cm²) - (π cm²) - (π cm²)

  = 7π cm² ≈ 22 cm²

5 0
3 years ago
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