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kaheart [24]
4 years ago
9

PLEASE HELP ASAP !!!

Mathematics
2 answers:
coldgirl [10]4 years ago
5 0

Answer:

The answer is A

Step-by-step explanation:

iogann1982 [59]4 years ago
3 0

Answer:

The answer is A. 35 degrees

Step-by-step explanation:

The triangle has to measure up to 180 degrees

add the 2 known angles together

105 + 40 = 145

Subtract the total from 180

180-145= 35

the missing angle is 35

Check Answer:

to check your answer add up all the angle measurements

<u>your total should add up to 180</u>

35 + 40 + 105 = 180

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Lines
SashulF [63]

Answer:

5 cm

Step-by-step explanation:

If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.

If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.

Consider two right triangles ABO and ACO. In these triangles:

  • AO is common hypotenuse;
  • ∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;
  • OB=OC as radii of the circle k(O).

By HL theorem, triangles ABO and ACO are congruent. Then

  • ∠OAB=∠OAC=30°;
  • AC=AB=5 cm.

Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.

Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus

∠CBA=∠BCA=1/2(180°-60°)=60°.

Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.

5 0
3 years ago
Express 2.7 as a fraction of 3.6 giving your ansver as a fraction<br> in its lowest terms.
MakcuM [25]
2.7 is 27/10 and 3.6 is 18/5
3 0
3 years ago
Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the subs
Svetradugi [14.3K]

Answer:

173 days

Step-by-step explanation:

The formula for substantial presence test is;

SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)

From the question, present tax year is 2019 and number of days is 96 days.

Year before tax year is 2018 and number of days is 198 days

2 years before tax year is 2017 and number of days is 66 days.

Thus;

SBT = 96 + ((1/3)198) + ((1/6)66)

SBT = 173 days

5 0
3 years ago
Piece-wise functions
wolverine [178]

Answer:

  • see the attachment for a graph
  • domain: all real numbers
  • range: -6 and y>-5

Step-by-step explanation:

The graph below was created by a graphing utility.

It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.

It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:

  {-6} ∪ {y > -5}

4 0
3 years ago
The diagonal AC is drawn in parallelogram ABCD. Which method
tensa zangetsu [6.8K]
Answer: 1 SSS
Explanation: I hope this helps you
8 0
3 years ago
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