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Olenka [21]
3 years ago
13

Find the measure of angle 1 given the following: angle 3 and angle 4 are complementary (angles add up to 90 degrees), angle 2 is

congruent to angle 3, the measure of angle 2 is equal to 6x+24, and the measure of angle 4 is equal to 5x.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
When you add up all the angles, it would be equal to 180 degrees.

Since angles 2 and 3 are congruent, angle 3 is also equal to 6x + 24.
We know also that angles 3 and 4 are complementary, so (6x+24) + 5x = 90. 

Let's find x. 
6x+24+5x = 90
11x = 90-24
11x = 66
x = 6


Angle 2 and 3 are 6(6) + 24 = 60 degrees
Angle 4 is 5(6) = 30 degrees 

180 - 60 - 60 - 30 = 30 degrees

Angle 1 is equal to 30 degrees :D :D

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Please help this is timed! I’ll give brainliest.
lakkis [162]

Answer:

a. Function 1

b. Function 3

c. Function 2, Function 3 and Function 4

Step-by-step explanation:

✔️Function 1:

y-intercept = -3 (the point where the line cuts across the y-axis)

Slope, using the two points (0, -3) and (1, 2):

\frac{y_2 - y_1}{x_2 -x_1} = \frac{2 -(-3)}{1 - 0} = \frac{5}{1} = 5

Slope = 5

✔️Function 2:

y-intercept = -1 (the value of y when x = 0)

Slope, using the two points (0, -1) and (1, -4):

\frac{y_2 - y_1}{x_2 -x_1} = \frac{-4 -(-1)}{1 - 0} = \frac{-3}{1} = -3

Slope = -3

✔️Function 3: y = 2x + 5

y-intercept (b) = 5

Slope (m) = 2

✔️Function 4:

y-intercept = 2

Slope = -1

Thus, the following conclusions can be made:

a. The function's graph that is steepest is the function whose absolute value of its slope is greater. Therefore Function 1 is the steepest with slope of 5

b. Function 3 has a y-intercept of 5, which is the farthest from 0.

c. Function 2, Function 3, and Function 4 all have y-intercept that is greater than -2.

-1, 5, and 2 are all greater than -2.

4 0
3 years ago
△ABC △ABC  is similar to △LMN △LMN . Also,  side AB measures 5 cm,  side AC measures 7 cm, and  side L​M measures 35 cm.
dolphi86 [110]
You need to apply "Proportionality theorem" here:
LM / AB = LN / AC
35 / 5 = LN / 7
LN = 7 * 7
LN = 49

In short, Your Answer would be 49 cm

Hope this helps!
4 0
3 years ago
Read 2 more answers
How many sides does a polygon have if the sum of the interior angles is 900
sammy [17]

Answer:

there are 7 sides.

Step-by-step explanation:

hope this helped you

3 0
2 years ago
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I am Lyosha [343]
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3 0
2 years ago
How does difference of squares work?
kodGreya [7K]

Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results. Step 3: Determine if the remaining factors can be factored any further.

6 0
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