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Vikentia [17]
3 years ago
10

4

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

A and D

Step-by-step explanation:

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Altitudes $\overline{ax}$ and $\overline{by}$ of acute triangle $abc$ intersect at $h$. if $\angle ahb = 132^\circ$, then what i
Sergio [31]
Answer: 48 degrees

-------------------------------------------------------

See the attached image for a visual of the problem and answer.

Based on the diagram, we have angle AHB = 132 degrees (given) equal in measure to angle XHY since these two angles are vertical angles. 

Angles HYC and HXC are right angles due to the nature of AX and BY being altitudes. Recall that altitudes are segments that go from one vertex to the opposite side and they are perpendicular to the opposite side.

Focus on quadrilateral HXCY. So far, we know that...
Angle XHY = 132 degrees
Angle HYC = 90 degrees
Angle HXC = 90 degrees

The angle we want to find is angle ACB, which is the same as angle YCX. This angle is the missing angle of the quadrilateral HXCY.

For any quadrilateral, the four angles must add to 360 degrees. 

(angle XHY) + (angle HYC) + (angle HXC) + (angle YCX) = 360
(132) + (90) + (90) + (angle YCX) = 360
312 + (angle YCX) = 360
312 + (angle YCX) - 312 = 360 - 312
angle YCX = 48 degrees

Since angle ACB is the same as angle YCX, we can say
angle ACB = angle YCX = 48 degrees

So in summary,
angle ACB = 48 degrees

4 0
4 years ago
The area of a piece of cloth is 3/4 inches. The width is 1/2 inch. What is the length
nikitadnepr [17]

Answer:

3/2

Step-by-step explanation:

3/4÷1/2=3/2

6 0
4 years ago
Read 2 more answers
Can someone please help me with this. Show your work please.<br><br> -2x² - 5x<br> if x = -4
Ierofanga [76]

Answer:

-2x^2 - 5x

= -2-4^2 - 5*-4

= -2(-4 * -4 ) - (-20)

= -2(-16) +20

= -32 + 20

= -12

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
What is 10 to the power of 6
Yakvenalex [24]
10^6 can also be written as 10*10*10*10*10*10 which is equal to 1000000 (1 million)

Hope it helps :)
8 0
3 years ago
Read 2 more answers
A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution.
julsineya [31]

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

4 0
3 years ago
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