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Aleksandr-060686 [28]
4 years ago
11

Find the value of x.​

Mathematics
2 answers:
andrey2020 [161]4 years ago
7 0

Answer:

A. 98

Step-by-step explanation:

This is the exterior angle theorem I'm pretty sure.

This means that 24 + x, would equal 122.

So, 24 + x = 122.

Do the algebra. Subtract on both sides, so 122 - 24 would be 98.

So x = 98

Vlada [557]4 years ago
3 0

Angle BAD and angle BAC are supplementary angles, which means they add up to 180 degrees.

180 = 122 + ?

Subtract 122 from both sides.

BAC = 58 degrees.

We know that the sum of all the interior angles of a triangle is 180 degrees.

180 = 24 + 58 + x

Combine like terms.

180 = 82 + x

Subtract 82 from both sides.

98 degrees = x

Answer choice A is correct

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Evaluate x2 + 12, when x = 3
anygoal [31]

Answer:

18

Step-by-step explanation:

x = 3

2(3) + 12

6 + 12

18

6 0
2 years ago
In the parallelogram shown, find x.
Olin [163]

The side with all the 9s and x is 12 just like its opposite side because this is a parallelogram. We can write the equation to add up the three segments; the ones on the left and right are 9-x:


9-x + x + 9-x = 12


18 - x = 12


x = 6


4 0
3 years ago
The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

7 0
3 years ago
What error did Lucia make?
Veronika [31]

Answer:

See below

Step-by-step explanation:

She combined 3x and - 9x   incorrectly

  she should have gotten  - 6 x       not  - 12 x

8 0
2 years ago
an assembly line produces 20 items per hour. if the line runs 24 hours per day, 7 days week, how many items are made by this mac
bezimeni [28]
20(24) = 480 items per day
480(30) = 14,400 items per month

7 0
3 years ago
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