Answer:
Bianca reads a page of a book in 1 ÷ (3/4) = 1 x (3/4) = 4/3 minutes;
We have 5 1/2 = 11/2 minutes;
She reads (11/2) ÷ (4/3) = (11/2) x (3/4) = 33 /8 = 4 1/8 pages;
Step-by-step explanation:
9514 1404 393
Answer:
4a. ∠V≅∠Y
4b. TU ≅ WX
5. No; no applicable postulate
6. see below
Step-by-step explanation:
<h3>4.</h3>
a. When you use the ASA postulate, you are claiming you have shown two angles and the side between them to be congruent. Here, you're given side TV and angle T are congruent to their counterparts, sides WY and angle W. The angle at the other end of segment TV is angle V. Its counterpart is the other end of segment WY from angle W. In order to use ASA, we must show ...
∠V≅∠Y
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b. When you use the SAS postulate, you are claiming you have shown two sides and the angle between them are congruent. The angle T is between sides TV and TU. The angle congruent to that, ∠W, is between sides WY and WX. Then the missing congruence that must be shown is ...
TU ≅ WX
__
<h3>5.</h3>
The marked congruences are for two sides and a non-included angle. There is no SSA postulate for proving congruence. (In fact, there are two different possible triangles that have the given dimensions. This can be seen in the fact that the given angle is opposite the shortest of the given sides.)
"No, we cannot prove they are congruent because none of the five postulates or theorems can be used."
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<h3>6.</h3>
The first statement/reason is always the list of "given" statements.
1. ∠A≅∠D, AC≅DC . . . . given
2. . . . . vertical angles are congruent
3. . . . . ASA postulate
4. . . . . CPCTC
Answer:
log9
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
logx - logy = log(
)
log
⇔ nlogx
Given
2(log18- log3) + 
log
= 2(log(
) ) + log
= 2log6 + log
= log6² + log
= log36 + log
= log( 36 × )
= log9
Answer: The product of 3. 5 and a number is greater than or equal to 7.
Step-by-step explanation:
Answer: 105.84 cm^2
To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.
Now, find the area of the circle. It's pi x r^2, so the area is 352.810.
Multiply this by 30% to find our area of 105.84 cm^2
