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Evgesh-ka [11]
3 years ago
10

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

I don't understand

Step-by-step explanation:

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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
Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
SVETLANKA909090 [29]
You need to figure out how many square feet one paint can will be able to paint, then take the 24 square feet and divide it by the how much the paint can can paint, then you’ll have how many paint cans you need
0 0
3 years ago
During halftime of a soccer ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet
AnnZ [28]

Answer:

During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.

8 0
3 years ago
A man's salary is increased by $925 to $1036. Find the percentage increase. What would have been his new salary if the increase
exis [7]

Answer:

See the solutions below

Step-by-step explanation:

Initial Salary= $925

Final salary=  $1036

% increase= Change/initial *100

substitute

% increase= 1036-925/925 *100

% increase=111/925 *100

% increase=0.12 *100

% increase=12%

2. Let us find 16% of $925

=16/100*925

=0.16*925

=$148

Hence the salary would have been

=148+925

=$1073

3 0
3 years ago
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60
Andrej [43]

9514 1404 393

Answer:

  • 8 white shirts
  • 22 colored shirts

Step-by-step explanation:

Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...

  10.50c +9.95(c -14) = 310.60

  20.45c -139.30 = 310.60 . . . . . . simplify

  20.45c = 449.90 . . . . . . . . . . add 139.30

  c = 22 . . . . . . . . . . . . . . . . . divide by 20.45

  c-14 = 8

22 colored shirts and 8 white shirts were sold.

6 0
3 years ago
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