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Kazeer [188]
1 year ago
15

The figure shows a triangle with an angle bisector. If angle SUT= 34°, find the measurement of angle 1?

Mathematics
1 answer:
Burka [1]1 year ago
8 0

The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}

Therefore the measurement of ∠1 is 17°.

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Find the value of x and y that make the quadrilateral
vitfil [10]

The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

4x+6=7x-3

We can solve that equation for x

\begin{gathered} 4x+6=7x-3 \\  \\ 3x=9 \\  \\ x=\frac{9}{3}=3 \end{gathered}

Hence, x = 3. Now let's solve the other equation

\begin{gathered} 4y-3=3y+1 \\  \\ y=4 \end{gathered}

Then the value of y is 4.

Final answers:

x = 3

y = 4

4 0
1 year ago
0.14m= how many cm. get it right please
givi [52]
Here, I'll show you an EASY conversion acronym:
Kangaroos, Hopping Down Mountains Drinking Chocolate Milk:
That is KHDMDCM.
Now, here's what they ACTUALLY stand for:
Kilo, (kilometers, kilograms, etc.), Hecto, (hectograms, hectometers, etc.), Deca, (decameters, decagrams, etc.), M stands for THREE things, Meters, liters, and grams, Deci, (decimeters, decigrams, etc.), Centi, (centimeters, centigrams, etc.), and Milli, (millimeters, milligrams, etc.).
Now, you look at the diagram I have provided below:
You put 0.14 under Meters, liters, and grams, because it's 0.14 meters.
Now, whenever you move RIGHT, you move the decimal RIGHT every time you move. If there is a WHOLE number, (like 14), you add a ZERO to the number, so when you would move 14 to the RIGHT, it would become 140. Now when you go LEFT, you move the decimal to the LEFT, and if there are ANY ZEROS, you would take them out.
Now you might get a little confused when moving left;
Look, EVERY NUMBER has a decimal, like the number 14 itself.
14 has an imaginary decimal, which is 14.0. EVERY NUMBER HAS THAT. So, if you are moving LEFT, and you DON'T have any zeros, you would simply have 14 into 1.4.
So, with that out of the way, let's start figuring out how many centimeters 0.14 is equivalent to.
So we move to the RIGHT, because the centimeters is on the RIGHT, and now we move the decimal to the right.
Now it would be 01.4, but it's the same as 1.4, so we'll just put 1.4 under deci.
Now we have 1.4 DECIMETERS, but not quite yet centimeters.
We must keep moving to the right.
Once we move that decimal AGAIN, it is now 14. 
WOO HOO! WE FIGURED IT OUT!
So 0.14m = 14 cm.
You saw how we figured that out? You could use this technique on ANY conversion problem like this in the future!
I hope I helped! =D

6 0
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Answer:

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Step-by-step explanation:

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