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3 years ago

Please answer this geometry (or trig) question!!!!

Mathematics

1 answer:

matrenka [14]3 years ago

5 0

Step-by-step explanation:

We know:

The sum of the measures of acute angles in a right triangle is equal 90°.

Therefore

(1) A + B = 90°

(2) 90° + B + C = 180° - angles on a straight line

(3) from (2) B + C = 90° → B = 90° - C

(4) from (1) and (3) A + (90° - C) = 90° → A - C = 0

Therefore

A = C → ∠A ≅ ∠C

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2. A chemist has a 25% and a 50% acid solution. How

AnnZ [28]

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50 Multiplying A) by -.5

A) -.5x -.5y = -125 adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source: http://www.1728.org/mixture.htm

Step-by-step explanation:

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3 years ago

Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

8 0

3 years ago

martin is ordering dvds online. each dvd is priced at $8.50. the wedsite also charges a flat fee of $5.00 for shipping and handl

Anon25 [30]

Y=8.50x+5.00
56=y
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56=8.50x+5.00
-5.00 -5.00
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÷8.5 ÷8.5

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3 years ago

Given parallelogram EFGH with diagonals that intersect at point J, which statement is true? Diagonal segment EG is perpendicular

Anna [14]

E. All of the above are true.

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3 years ago

True or false.<br> y +2<8; y = 3

Evgesh-ka [11]

Answer:

false

Step-by-step explanation:

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3 years ago