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Degger [83]
3 years ago
13

1. Write a congruency statement for the pair of triangles. Please show your work.

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Please see the attachments for the complete solution.

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<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> rtf </span>
7ad1695e979fa3f009002a381a217690.png
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A business analyst makes $20 an hour for the first 42 hours he works during a week and $28 an hour for each hour worked over 42
Natasha_Volkova [10]

The piecewise function for this should be f(x) \left \{ {{y = 20x, x < 42} \atop {y = 28x + 840, x > 42}} \right..

We can find the first equation simply. He gets 20 every hour up to 42 hours. Therefore, the function gives us our first equation of y = 20x when x < 42.

The second one, we must know what the base amount he would make before starting to make 28 an hour. The 28 an hour would be 28x, but he would have already made 840 before hand. Which we can determine by multiplying the base of 42 hrs by 20.

42 * 20 = 840.

3 0
3 years ago
Read 2 more answers
What is 2.5% of 45?,,,
aleksandr82 [10.1K]

Answer:

1.125

Step-by-step explanation:

Of means multiply

2.5% * 45

Change the percent to decimal form

.025 * 45

1.125

3 0
2 years ago
Read 2 more answers
Can someone help me with this question ? Show steps please
jek_recluse [69]

Answer:

B) \boxed{A_T=108\;in^2}

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}

Finally, we sum both of the areas found to calculate the total area.

A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}

So, the answer is option B).

4 0
2 years ago
What times what equals -60 but also adds up to 17?
natulia [17]

20 and -3.

20*-3=-60

20+-3=17

5 0
3 years ago
1 find the area in square cm of a square whose side is
lara [203]
For question 1:

Part i)

2.6 x 2.6 = 6.76 cm squared

No unit conversions needed

Part ii)

1.2 dm = 1.2 / 1000000 = 0.0000012 cm

0.0000012 x 0.0000012 = 0.00000000000144 cm squared

Question 2:

16.5dm = 16.5/ 1000 = 0.0165 m

0.0165 x 0.0165 = 0.00027225 m squared

I hope this has helped
3 0
3 years ago
Read 2 more answers
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