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Yakvenalex [24]
4 years ago
13

The sum of the measures of the angles of a triangle is 180°

Mathematics
1 answer:
Ierofanga [76]4 years ago
3 0
180/2=90 ,90 is twice the smallest angle.
You might be interested in
Factor x^4-5x^2+4 show your work
ch4aika [34]

Answer:

(x+2)(x-2)(x+1)(x-1)

Step-by-step explanation:

STEP 1: Rewrite x^{4} as (x^2)^2.

(x^2)^2-5x^2+4

STEP 2: Let u=x^{2}. Substitute u for all occurrences of x^{2}.

u^2-5u+4

STEP 3: Factor u^2-5u+4 using the AC method.

(u-4)(u-1)

STEP 4: Replace all occurrences of u with x^2.

(x^{2} -4)(x^{2} -1)

STEP 5: Rewrite 4 as 2^{2}.

(x^{2}-2^{2})(x^{2}-1)

STEP 6: Since both terms are perfect squares, factor using the difference of squares formula,a^2-b^2=(a+b)(a-b) where a=x and b=2.

(x+2)(x-2)(x^{2}-1)

STEP 7: Rewrite 1 as 1^{2}.

(x+2)(x-2)(x^2-1^2)

STEP 8: Factor.

(x+2)(x-2)(x+1)(x-1)

4 0
3 years ago
You must give an estimate to service an automobile. The hourly rate for labor is $7.50. You estimate the job will take 2 1/2 hou
LUCKY_DIMON [66]
Answer:
job estimate = $60.1875

Explanation:
1- labor payment:
The hourly rate is $7.5 and the job will take around 2.5 hours. This means that:
labor payment = 7.2 * 2.5 = $18.75

2- Overhead value:
The overhead value is 85%.
This means that:
its cost would be = 85% * labor payment 
                           = 0.85 * 18.75 
                           = $15.9375

3- Retail cost:
We are given that the retail cost is $25.5

4- getting the job estimate:
job estimate = labor payment + overhead cost + retail
job estimate = 18.75 + 15.9375 + 25.5
job estimate = $60.1875

Hope this helps :)
                                                      
3 0
3 years ago
Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co
tekilochka [14]
We need to solve this system 
<span>(3x + 2y = 36.50)    *5
(2x + 5y = 50.00)    *(-2)

  15x+10y= 182.5
   -4x  -10y= -100

11x=82.5
x= 7.50  at the library


</span>2x + 5y = 50.00   
<span>2*7.5+5y=50
15+5y=50
5y=35
y=7 at coffee cart

So,
correct answer is 
</span><span>C.Percy earns a greater hourly wage of $7.50 at the library.</span><span>

</span>
5 0
3 years ago
Anyone know how to solve this?? <br>I need the answer​
shtirl [24]

Answer:

zi3nn82s7ns b2s7b sg72bz7x3h73shwheywy

3 0
3 years ago
Which transformation are needed to change the parent cosine function to y=3cos(10(x-pi))
BlackZzzverrR [31]

Answer:


Step-by-step explanation:

First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).  

Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).

Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.

6 0
4 years ago
Read 2 more answers
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