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Sindrei [870]
2 years ago
7

Now let's explore how to use Desmos to help solve questions like the following.

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0
6x+6y=1500 like this i think
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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
What is does addition mean,I ask every one and they don't know,please help.
chubhunter [2.5K]
Addition means adding for exanple

3+3=6
6 0
3 years ago
Read 2 more answers
If the student has already read 2525 of the pages, how long will it take them to read the rest of the book? _____ minutes Your a
Alja [10]

The number of pages the student can read in a minute is an illustration of rates.

The time left to complete the whole book is 90 minutes

From the complete question, the student's rate is:

\mathbf{Rate = 50\ pages/hr}

The number of pages is:

\mathbf{Total = 100\ pages}

First, we calculate the time to read the whole book

\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}

\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}

\mathbf{Total\ Time = 2\ hours}

The number of the student has read is:

\mathbf{Pages = 25}

Next, we calculate the time spent on the 25 pages

\mathbf{Time\ Spent = \frac{Pages}{Rate}}

\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}

\mathbf{Time\ Spent = 0.5\ hr}

Convert to minutes

\mathbf{Time\ Spent = 30\ minutes}

So, the time left is:

\mathbf{Time\ Left = Total\ Time - Time\ Spent}

This gives

\mathbf{Time\ Left = 2\ hours- 30\ minutes}

\mathbf{Time\ Left = 1\ hour, 30\ minutes}

Convert to minutes

\mathbf{Time\ Left = 90\ minutes}

Hence, the time left is 90 minutes

Read more about rates at:

brainly.com/question/18065083

5 0
3 years ago
Name the polynomial 200p - 30p^2m + 40m^3 based on the number of terms.
Sonbull [250]
It's highest degree is 3, and has 3 terms, so this is a third-degree trinomial
6 0
4 years ago
Find an equivalent system of equations for the following system:
marusya05 [52]

Answer:

A and B

Step-by-step explanation:

An equivalent system of equation is found by adding or subtracting the second equation or when any multiple of both equations are added or subtracted to each other.

Let us see part by part.

A.

8 0
4 years ago
Read 2 more answers
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