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2 years ago

Triangle ABC is an obtuse triangle with the obtuse angle at the vertex B angle A must be?

Mathematics

2 answers:

alekssr [168]2 years ago

7 0

Acute. No triangle can have more than 1 obtuse angle.

klasskru [66]2 years ago

6 0

If B is obtuse, B > 90 degrees, then the remaining two angles add up to less than 90 degrees, so must be acute. In fact, at least one of A and C is less than 45 degrees, but we can't tell which.

Answer: A must be acute

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Kevin has had a checking account for a month. As he reconciles his account, Kevin notices that the dates on his check register d

Anika [276]

The most likely answer is D) <span>"The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written".

There is usually a delay between when you write someone a check (and record it in your ledger) and when that person cashes it (when the bank records it). </span>

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2 years ago

Assume that TUV=WXY which of the following congruence statements are correct

Damm [24]

Answer:

A and E are correct option.

Step-by-step explanation:

We are given two triangle congruent.

If two triangles are congruent then their corresponding sides and angles are equal.

In ΔTUV ≅ ΔWXY

Now we write all the congruent sides and angles

∠T=∠W
∠U=∠X
∠V=∠Y
TU≅WX
UV≅XY
TV≅WY

Now we see all the given option.

∠Y=∠V (TRUE, Congruent part of congruence triangles)

∠W=∠T (TRUE, Congruent part of congruence triangles)

Thus, A and E are correct option.

7 0

2 years ago

Read 2 more answers

A recent poll of 124 randomly selected residents of a town with a population of 310 showed that 93 of them are opposed to a new

tester [92]

The sample size is 124.
93 of them are opposed to new shopping center.

So,
n = 124
p = $\frac{93}{124}=0.75$

The point estimate of the population proportion = p = 0.75
q = 1 - p = 0.25

Margin of error (E) can be calculated by:

$E= Z_{c} \sqrt{ \frac{pq}{n} }$

Using the values, we get:

$E=1.645 \sqrt{ \frac{0.75*0.25}{124} }=0.06$

Therefore, the margin of error is approximately 0.06 or 6%.

6 0

2 years ago

Read 2 more answers

Which function will have the steepest graph? y = –2x y =-1/2 x y = 3/2x y =5/2 x

timofeeve [1]

The steepest graph is gonna have the largest slope....but u have to use the absolute value of the slopes to compare

y = -2x.....slope is -2....| -2 | = 2
y = -1/2x...slope is -1/2....| -1/2 | = 1/2
y = 3/2x....slope is 3/2 (or 1 1/2)...| 1 1/2} = 1 1/2
y = 5/2x...slope is 5/2 (or 2 1/2)...| 2 1/2| = 2 1/2

so the steepest graph is : y = 5/2x

4 0

2 years ago

Read 2 more answers

A rectangular storage container with an open top is to have a volume of 10m3. Thelength of its base is twice the width. Material

frutty [35]

Answer:

$163.54

Step-by-step explanation:

Volume of rectangular container = 10m^3

Length = 2(width)

Material for the base cost $10 per square meter

Material for the side cost $6 per square meter

Volume = L*B*H

L= 2W

V = (2W).W. H

10 = 2W^2.H

H = 10 /2W^2

H = 5/W^2

Let C(w) = cost function

C(w) = 10(L.W) + 6(2.L.H + 2.W.H)

= 10(2W.W) + 6(2.2W.H + 2.W.H)

= 10(2W^2) + 6(4W.H + 2.W.H)

= 10(2W^2) + 6(4W*5/W^2 + 2.W*5/W^2)

= 20W^2 + 6(20/W + 10/W)

= 20W^2 + 6((10+20)/W)

= 20W^2 + 6(30/W)

C(w) = 20W^2 + 180/W

To find the minimum value, differentiate C with respect to w

C'(w) = 40W - 180/W^2

Put C'(w) = 0

0 = 40W - 180/W^2

40W = 180/W^2

40W^3 = 180

W^3 = 180/40

W^3 = 4.5

W = cube rt(4.5)

W = 1.65m

C = 20(1.65)^2 + 180/1.65

C = 54.45 + 109.09

C= $163.54

Minimum cost = $163.54

6 0

2 years ago