Answer:
9
Step-by-step explanation:
Hey There!
If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50
So all we have to do is set up an equation
z+50=30+6x-45
step 1 combine like terms
30-45=-15
now we have
z+30=6x-15
step 2 add 15 to each side
-15+15 cancels out
30=15=45
now we have
z+45=6z
step 3 subtract z from each side
z-z cancels out
6z-z=5z
now we have
45=5z
step 4 divide each side by 5
5/5 cancels out
45/5=9
z=5
so we can conclude that z=9
hope this helps :)
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The perimeter is 39.8
So, the first step to this is looking for any tick marks on the triangles sides.
These ticks represent equal. We can see there are marks between A-B and A-D.
Those are there to represent that line AB and line AD are equal. Since we are given that line AB is 12.1cm, we can say line AD is also 12.1 cm.
From there we can take a look at line AC. We can see that these two triangles share a side.
Also the two angle marks are like tick marks. They represent equal. So we can also say angle DAC is equal to angle BAC.
Now we have enough information to conclude that these triangles are are the same. (They are equal to each other).
Now that it is clear they are equal, we know that Line DC (7.8cm) is the same length as line BC because they are the same triangles with the same length sides. So line BC is also 7.8.
Now let's add up all the sides. Remember do not include line AB (the 10cm.) Perimeter is only the outside of the shape.
12.1+12.1+7.8+7.8=39.8
Hope this helped!
Answer: a < -3
Step-by-step explanation:
-2a > 6 Divide both sides by -2 and remember if you divide both sides of an inequality by a negative number the sign switches.
-2a > 6
a < -3
Here are the following factors for 51 and 100:
51= 1, 3, 17, 51
100=1, 2, 4, 5, 10, 20, 25, 50, 100
Since none of the numbers that go into 51 go into 100
(1 doesn't count) 51/100 is the correct answer, and cannot be put into lower terms.
