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Olenka [21]
2 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]2 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 I NEED HELP FAST!!!!
zmey [24]

Answer:

5L+13r=F [F stands for flower arrangement(1)]

Step-by-step explanation:

<u><em>L</em></u>

Divide:

30/6=5

5 lilies per flower arrangement

<u><em>r</em></u>

Divide:

78/6=13

13 roses per flower arrangement

Put together:

5L+13r=F

i hope this helps u pls give brainliest and thx ;)

leave a comment if wrong

6 0
3 years ago
Read 2 more answers
. A cake recipe calls for cup of butter. One tablespoon equals
natka813 [3]

Answer:

16 tablespoons

Step-by-step explanation:

3 0
3 years ago
Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble
liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0
3 years ago
What is 532,892 rounded to the nearest thousand?
xxTIMURxx [149]
Thousand is 1000

look at previous digit
8
8>5 so round up

533,000 is rounded
7 0
2 years ago
Alma is offered a job as a receptionist in a medical office. She will be paid $19.20 per hour for 37 hours per week. The office
dalvyx [7]

Answer: I believe the answer would be $42,890.80 is the total annual(yearly value) of Almas job.

Step-by-step explanation: First you need to figure out that $19.20 x 37= $710.40(hourly wage per week). Then, you need to figure out that $710.40 x 52 = $36,940.80(the weekly wage x the 52 weeks in the year). Next, add the yearly medical coverage. $5,500 + $36,940.80 = $42,440.80. Now, you know that 1/2 of the dental is going to be $350 and 1/2 of the life insurance is going to be $100. Add those to your previous balance. $42,440.80 + 350 + 100 = 42,890.80.

7 0
2 years ago
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