Answer:
7. 69° 8. 118°
Step-by-step explanation:
to know
- isosceles triangles have the base angles congruent
- the sum of angles in a triangle is 180
180 -42 = 138 sum of the two base angles
138 /2 = 69 is one base angle
31*2 = 62 are the 2 base angles
180 -62 = 118° vertex angle
Answer/Step-by-step explanation:
We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/5x or 1/5 of a full tank.
After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank
So we start with
(1/5)x + 13 = 7/10x
Let's subtract 1/5x from both sides
13 = 7/10x - 1/5x
Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10
13 = 7/10-2/10x
Now we simplify to get
13 = 5/10x
Multiply the reciprocal of 5/10 to both sides which is 10/5
13 * 10/5= x
Answer is 26 gallons.
Therefore, Deon's tank can hold 26 gallons.
Answer:
think its 24 cm tho i could be wrong
plz lemme know if so
Answer:
4
+2
Step-by-step explanation:
![\frac{6-\sqrt{8}}{\sqrt{2}-1}](https://tex.z-dn.net/?f=%5Cfrac%7B6-%5Csqrt%7B8%7D%7D%7B%5Csqrt%7B2%7D-1%7D)
=
×![\frac{\sqrt{2}+1}{\sqrt{2}+1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%2B1%7D%7B%5Csqrt%7B2%7D%2B1%7D)
=![\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%286-%5Csqrt%7B8%7D%29%28%5Csqrt%7B2%7D%2B1%29%7D%7B2-1%7D)
=6
+ 6 -
- ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 6 - 4 - ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 2 - ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 2 - 2
=4
+2
for
= 2
,
= ![\sqrt{2*2*2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%2A2%7D)
= (
)^2 ×
=2 ×