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S_A_V [24]
2 years ago
6

Find the m2.

Mathematics
1 answer:
Lisa [10]2 years ago
8 0

9514 1404 393

Answer:

  d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

  ∠P +∠Q +∠R = 180°

  x° +(2x +15)° +(2x +15)° = 180°

  5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

  x = 30 . . . . . . . . . . . . . . . . divide by 5

  m∠Q = (2x +15)° = (2(30) +15)°

  m∠Q = 75°

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Step-by-step explanation:

The angles form a straight angle, so y = 180 - 80 - 60 = 40.

4 0
2 years ago
Help ASAP:Solve : 0.84+91.279
jeka94

Answer:

92.119

Step-by-step explanation:

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3 years ago
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5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

\frac{AC}{sin30} = \frac{15}{sin40} ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = \frac{15sin30}{sin40} ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = \frac{adjacent}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{11.668} ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

6 0
3 years ago
Find the domain and range of the graph
Rainbow [258]

Answer:

Domain: [-2,1)

Range: [0,4]

Step-by-step explanation:

<u>Domain</u>

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write [-2,1). Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

<u>Range</u>

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be [0,4].

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2 years ago
20 ounce sodas cost 4 for $5. How much does each soda cost?
dolphi86 [110]
I think 1.99?
I have no idea but I think it’s that
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