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schepotkina [342]
3 years ago
5

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of &

lt;1?
Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

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Nikitich [7]
-5x-10=10   x= -4

Work:
-5x-10=10
     +10  +10
______________
-5x=20
_______
-5    -5

x=-4


3 0
3 years ago
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Is anyone wanna help me?
PtichkaEL [24]

Answer:

See the answers bellow

Step-by-step explanation:

For 51:

Using the definition of funcion, given f(x) we know that different x MUST give us different images. If we have two different values of x that arrive to the same f(x) this is not a function. So, the pair (-4, 1) will lead to something that is not a funcion as this would imply that the image of -4 is 1, it is, f(-4)=1 but as we see in the table f(-4)=2. So, as the same x, -4, gives us tw different images, this is not a function.

For 52:

Here we select the three equations that include a y value that are 1, 3 and 4. The other values do not have a y value, so if we operate we will have the value of x equal to a number but not in relation to y.

For 53:

As he will spend $10 dollars on shipping, so he has $110 for buying bulbs. As every bulb costs $20 and he cannot buy parts of a bulb (this is saying you that the domain is in integers) he will, at maximum, buy 5 bulbs at a cost of $100, with $10 resting. He can not buy 6 bulbs and with this $10 is impossible to buy 0.5 bulbs. So, the domain is in integers from 1 <= n <= 5. Option 4.

For 54:

As the u values are integers from 8 to 12, having only 5 possible values, the domain of the function will also have only five integers values, With this we can eliminate options 1 and 2 as they are in real numbers. Option C is the set of values for u but not the domain of c(u). Finally, we have that 4 is correct, those are the values you have if you replace the integer values from 8 to 12 in c(u). Option 4.

6 0
3 years ago
Please help me asap!!!
blondinia [14]

Answer:

the answer is 120.6                     (:

Step-by-step explanation:

3 0
3 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
The sum of the ages of two people is 32. The difference is their ages is 4. What is the age of the younger person ?
Gala2k [10]
I believe the answer is 12
5 0
3 years ago
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