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2 years ago

∠ 1 and ∠ 2 are complementary angles, if ∠ 1= 3x+10 and ∠ 2 = 4x-25. Find the measurement of ∠ 1 and ∠ 2

Mathematics

1 answer:

viktelen [127]2 years ago

6 0

Answer:

<1 = 55 degrees and <2 = 35 degrees

Step-by-step explanation:

Sum of complementary angles is 90.

<1 = 3x + 10

<2 = 4x - 25

3x + 10 + 4x - 25 = 90

7x - 15 = 90

7x = 105

x = 15

<1 = 3(15) + 10

<1 = 55

<2 = 4(15) - 25

<2 = 35

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LUCKY_DIMON [66]

Answer:

13.636

Step-by-step explanation:

The area can be found using Heron's formula:

A = √(s(s-a)(s-b)(s-c))

where s=(a+b+c)/2.

For the given triangle, ...

a=9, b=4, c=12, s=(9+4+12)/2 = 12.5

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The area of the triangle is about 13.636 square units.

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3 years ago

PLSS HELP

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.

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3 years ago

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fiasKO [112]

Answer:

D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

√4²+3²= √25 = 5 miles

Correct choice is D

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3 years ago

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Shtirlitz [24]

Answer:

Random

Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through the points (-2, 1) and<br> (-6, -5)?

Paha777 [63]

Answer:

y=3/2x+4

Step-by-step explanation:

1.find the slope

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-5-1/-6+2

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y-1=3/2(x-(-2))

y-1=3/2(x+2)

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y=3/2x+6/2+1

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3 years ago