All categories

3 years ago

A student solved the following problem and made an error:

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

All the steps were correct except the final statement. The mistake was in Line 6.

Line 6 triangle ABC is congruent to triangle EFD by SAS.

<span>This does not follow. The SAS postulate states that if two sides and the included angle of one triangle is congruent to two sides and the included angle of another triangle. The student only proved that one side of the triangle (AC) is congruent to the side of another triangle (EF) .</span>

You might be interested in

50 points. Please explain each step

3241004551 [841]

<h3>Sin $\theta_{1}=\frac{3\sqrt{21}}{17}$ </h3>

Solution given:

Cos $\theta_{1}=\frac{10}{17}$

$\frac{adjacent}{hypotenuse}=\frac{10}{17}$

equating corresponding value

we get

adjacent=10

hypotenuse=17

perpendicular=x

now

by using Pythagoras law

Hypotenuse ²=perpendicular²+adjacent ²

substituting value

17²=x²+10²

17²-10²=x²

x²=17²-10²

x²=189

doing square root

$\sqrt{x²}=\sqrt{189}$

x= $3\sqrt{21}$

now

In I Quadrant sin angle is positive

Sin $\theta_{1}=\frac{perpendicular}{hypotenuse}$

<h3>Sin $\theta_{1}=\frac{3\sqrt{21}}{17}$ </h3>

7 0

3 years ago

Read 2 more answers

If tan x = .76 and cos x = .22, what is sin x?

andrezito [222]

If we have in mind that tanx = sinx / cosxso we can rightly say that sinx=tanx×cosx
If you place the data in the right places, the answer should be 0.1672
I hope this can help you greatly

3 0

3 years ago

Help me please༼ つ ◕_◕ ༽つ<br><br> The value of x is ___, and the value of y is ___.

jok3333 [9.3K]

Answer:

I think x is 60 and y is 50.

Step-by-step explanation:

70 + 50 = 120

180 - 120 = 60

x = 60

50 + 50 = 100

70 + 60 = 130

130 + 100 = 230

230 - 180 = 50

y = 50

I hope this helps u! :D

5 0

3 years ago

Read 2 more answers

How would I solve a problem like this?

Verizon [17]

(85 + 75) * t = 448
160t = 448
t = 448/160
t = 2.8 hrs
Answer: 2.8 hrs

4 0

3 years ago

Ralph Chase plans to sell a piece of property for $150000. He wants the money to be paid off in two ways a - short-term note a

Artyom0805 [142]

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the short-term note at 11% interest be x.

Thus, the amount for the short-term note at 8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

5 0

3 years ago