Answer:
1) 4
2) 45
3) 104
Step-by-step explanation:
1)
let x be your number.
((6x+8)/4)-5 = 3
add 5
(6x+8)/4=8
multiply by 4 to get rid of the denominator
6x+8=32
subtract 8
6x=24
divide by 6
x=4
2) Same type. (this time I won't explain every step)
let x be your number
((x/9)-8+6)*7 =21
(x/9)-8+6=3
(x/9)-2=3
x/9 = 5
x=45
3) Same type... Again
let x be your number
(((x-4+11)*2)/6)-8 = 29
((x-4+11)*2)/6=37
(x-4+11)*2 = 222
x+7=111
x= 104
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
Answer:
A)72
Step-by-step explanation:
They have essentially divided up the line 2 different ways, into 2 parts and into 10 parts. The 2 parts is from 1 and 2 and then the 10 parts is because of the ratio 4-6. The 2 parts are not equal because one of them is 4 parts of the line and the other is 6, if we put that together we get the 10 equal parts of the line. A line is equal to 180 degrees meaning that we can divide that my 10 to figure out how much each part is equal to 180/10 is 18 so each of the 10 parts is equal to 18. We are looking for <1 which it says is equal to 4 parts so we will multiply 4 by 18 to get how much it is. 4 times 18 is 72 so the answer is A
I hope this helps and please don't hesitate to ask if there is anything still unclear!
14
All the angles in a triangle add up to 180 degrees.
180 - 32 -64 = 84
84/6=14