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kirill115 [55]
3 years ago
13

Angle BAC measures 56°.

Mathematics
2 answers:
blondinia [14]3 years ago
6 0

Answer:56

Step-by-step explanation:Angle BAC is congru to angle BDC due to the fact that both angles are on the same arc

wel3 years ago
5 0

Answer:

56

Step-by-step explanation:

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The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter
masha68 [24]

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

7 0
3 years ago
Drew's car weighs 1,344 kilograms. His car weighs 7 times as much as his motorcycle. How many grams does his motorcycle weigh? N
Alona [7]

Answer:

192,000 grams

Step-by-step explanation:

turn 1,344 kilograms to grams, which gives u 1344000 grams

divide 1344000 by 7 and you get 192,000 grams. Hope this helped :)

7 0
3 years ago
Betty has 741 coins in her piggy bank, worth a total of 10,725 cents. The piggy bank contains ONLY quarters and dimes. How many
rjkz [21]
This is the 2nd time I've posted this answer... not sure why it didn't go through the first time. Let me know if you have questions. :)

6 0
3 years ago
How would 0.09 be represented as a percent? A. 0.9% B. 9% C. 90% D. 0.0009%
posledela
Answer: 9%

Explanation:

To convert a decimal to a percent, move the decimal point two spaces to the right.
4 0
3 years ago
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Drag a statement or reason into the blank to complete this proof;
sergiy2304 [10]
\left[x \right] = \left[ 5\right][x]=[5]2(x+1)/−2 = 8−2 _________
_________ Simplifying

\left[x \right] = \left[ 2\right][x]=[2] = x + 1 + -4
x = -5
6 0
3 years ago
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