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Damm [24]
3 years ago
5

The sum of the digits of a two-digit number is 11. The tens digit is one less

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0
x+y=11\\
x+1=3y\ \ \ \ --->\ \ \ \ x=3y-1\\\\
3y-1+y=11\\
4y-1=11\ \ \ | add\ 1\\
4y=12\ \ \ | divide\ by\ 4\\
y=3\\\\
x=8\\\\
Original\ number \ is\ 83.
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A rectangular bedroom is 4 ft longer than it is wide. Its area is 140 ft2. What is the width of the room? ft
steposvetlana [31]

Answer: width = 10 ft

Step-by-step explanation:

Area = length × width

Let l be length and w be width

l = w + 4 ........equation (1)

From above formula

140 = l × w. ........equation (2)

Substitute equation (1) into equation (2)

140 = (w+4) × w

w^2 + 4w= 140

w^2 + 4w - 140= 0

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(w+14)(w-10)= 0

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Please help me with this
oksano4ka [1.4K]

Answer:

m∠1=80°, m∠2=35°, m∠3=33°

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

step 1

Find the measure of angle 1

In the triangle that contain the interior angle 1

∠1+69°+31°=180°

∠1+100°=180°

∠1=180°-100°=80°

step 2

Find the measure of angle 2

In the small triangle that contain the interior angle 2

∠2+45°+(180°-∠1)=180°

substitute the value of angle 1

∠2+45°+(180°-80°)=180°

∠2+45°+(100°)=180°

∠2+145°=180°

∠2=180°-145°=35°

step 3

Find the measure of angle 3

In the larger triangle that contain the interior angle 3

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∠3=180°-147°=33°

3 0
3 years ago
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