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The measure of angle 1 is 3x + 10 and the measure of angle 4 is (4x-15). What is the measure of angle 7

Alex_Xolod [135]

Answer:
∠7 = 95°

Explanation:
1- getting the value of x:
In the given figure, angle 1 and angle 4 are vertically opposite angles.
Therefore, they are equal in measurement
This means that:
3x + 10 = 4x - 15
4x - 3x = 10 + 15
x = 25

2- getting the value of angle 4:
We know that:
x = 25 and ∠4 is 4x-15
This means that:
∠4 = 4(25) - 15
∠4 = 85°

3- getting the value of ∠6:
From the given figure, we can see that ∠4 and ∠6 are supplement angles, this means that their summation is 180°.
We have calculated that ∠4 is 85°, therefore:
180 = ∠4 + ∠6
∠6 = 180 - ∠4
∠6 = 180 - 85
∠6 = 95°

4- getting the value of angle 7:
From the drawing, we can note that ∠6 and ∠7 are vertically opposite angles. This means that they are equal in measurements.
Therefore:
∠7 = ∠6 = 95°

Hope this helps :)

5 0

4 years ago

Read 2 more answers

Simplify 12cm to 2.5mm

julia-pushkina [17]

Given:

12cm to 2.5mm

To find:

The simplified for of given statement.

Solution:

We know that,

1 cm = 10 mm

12 cm =120mm

We have,

12cm to 2.5mm

It can be written as

$\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}$

$\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}$

$\dfrac{12\ cm}{2.5\ mm}=48$

Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.

7 0

3 years ago

Marcus ate one-half of a pizza with a radius

MA_775_DIABLO [31]

Answer:

700 calories

Step-by-step explanation:

7 0

3 years ago

A device is rated at 1,100 watts.what current is required if it is operated at 110 volts?

WINSTONCH [101]

1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW

2) I = Watts / e = 1100 / 110 = 10 amperes

3) 1 horsepower = 33000 ft/lbs per minute

HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp

4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10

5) This answer will be incorrect because you have not stated the power factor of the motor.

va = I * E = 7.5 * 240 = 1800

2 hp = 2 * 746 watts = 1492 watts

If the motor had a 1.0 power factor (it doesn't) the efficiency would be

efficiency = output / input = 1492 / 1800 = 82.888 %

6) I = watts / E =1000 / 120 = 8.333 amps

7) 1 = watts / E = 1000 / 240 = 4.1616

8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52

cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256

9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %

10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2

5 0

3 years ago

Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057 . Does the interval provide convi

madam [21]

Step-by-step explanation:

With a fair die, the probability of rolling a 6 is 1/6 or 0.167.

For the baked die, the low end of the confidence interval is 0.215 − 0.057 = 0.158.

Since 0.167 is within the range of the confidence interval, there is not convincing statistical evidence that a baked die will have a higher probability of rolling a 6 than a fair die.

5 0

3 years ago