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soldier1979 [14.2K]
3 years ago
7

HELP IS MUCH NEEDED :)

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3

Equate both:
6x + 7 + 12x - 3 = 112

Solve for x :
6x + 7 + 12x - 3 = 112

Combine like terms:
18x + 4= 112

Take away 4 from both sides:
18x = 108

Divide both sides by 18:
x = 6

Find ∠ADB:
6x + 7 = 6(6) + 7 = 43


Answer: ∠ADB = 43°

Elena L [17]3 years ago
4 0
If m∠ABC = 112°, then m∠ADB + m∠BDC must equal 112°.

Make m∠ADB + m∠BDC = 112.

6x + 7 + 12x - 3 = 112
18x + 4 = 112
18x = 108
x = 6

Now plug x into 6x + 7 to find m∠ADB.

6(6) + 7 = 43

m∠ADB = 43°
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Cathy is paid at a rate of K7.20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during th
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Answer:

K1310.4

Step-by-step explanation:

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Overtime pay during the week per hour = 1 1/2 * K7. 20 = K10.8

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Basic hours per week = 70 hours

In a fortnight :

Basic hours = 70 * 2 = 140 hours :

Hence, Overtime during the week = (160 - 140) = 20 hours

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3 years ago
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

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The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
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