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3 years ago

Find the values of x and y. т > 75° 45 (6x + 3)

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Answer:

X=12°

y=60°

Step-by-step explanation:

75=6x+3

x=12°

y=180-(45+75)

y=60°

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Tom [10]

Answer:B is the answer

Step-by-step explanation:

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3 years ago

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In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: m∠A = α

hodyreva [135]

Answer:

Given:

m∠C = 90°, because ∠C is a right angle.

m∠D = 90°, because CD is the height to AB.

m∠A = α

Since the sum of angles in a triangle is 180°, therefore

m∠DBC + 90° + α = 180°

m∠DBC = 90° - α

Again, for the same reason,

m∠DCB + m∠DBC + 90° = 180°

m∠DCB + 90° - α + 90° = 180°

m∠DCB = α

For the same reason,

m∠ACD + 90° + α = 180°

m∠ACD = 90° - α

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m∠CDB = 90° (by definition)

Answer:

m∠DBC = 90° - α

m∠DCB = α

m∠CDB = 90°

m∠ACD = 90° - α

m∠ADC = 90°

Step-by-step explanation:

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3 years ago

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The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake i

blagie [28]

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the expression for the depth of a lake after x years is given by

$y=0.2x+42$

Required

The value of y when x= 4

Step two:

substitute the value of x in the expression to get y

$y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\$

<em><u>After 4 years the depth will increase by 42.8 in</u></em>

7 0

3 years ago

Find the distance between the origin and (8,15)

stellarik [79]

The distance between the origin and (8,15) is 17

Step-by-step explanation:

We need to find the distance between the origin and (8,15)

We know that x and y coordinates at origin are (0,0)

The formula used to find distance is:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$x_1=0, y_1=0, x_2=8,y_2=15$

Putting values and finding distance:

$Distance=\sqrt{(8-0)^2+(15-0)^2}$

$Distance=\sqrt{(8)^2+(15)^2}$

$Distance=\sqrt{64+225}$

$Distance=\sqrt{289}$

$Distance=17$

So, The distance between the origin and (8,15) is 17

Keywords: Distance between points

Learn more about Distance between points at:

#learnwithBrainly

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4 years ago

160% of what number is 19.2

riadik2000 [5.3K]

Answer:

The number is 12

Step-by-step explanation:

Let x be the number

160/100 = 1.6

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x = 19.2 / 1.6

x = 12

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3 years ago