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trasher [3.6K]
3 years ago
15

Instructions: state what additional information is required in order to know that the triangle in the image below are congruent

for the reason given
***I need help before it’s due**

Mathematics
1 answer:
Stells [14]3 years ago
8 0

SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.

Triangle WVU & Triangle UBW are our two triangles.

The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.

For SSS, we need to know that sides WV and UB are congruent.

Hope this helps!

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1/4 of 12 is 3. Because there are 4 threes in twelve. 12/4 is twelve divided by four, which is three. 
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dmitriy555 [2]

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180

Step-by-step explanation:

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]

8(1-\beta)-[2(2-2\beta)(1-\beta)]

8-8\beta-4+8\beta-4\beta^{2}

-4\beta^{2}+4\neq 0

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\beta \neq \sqrt{1}

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0
4 years ago
If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth
german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

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Answer:

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Step-by-step explanation:

sike.

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