z = 37°
Step-by-step explanation:
The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle
In this case the sum of z and z+4 will be equal to z+41
Writing mathematically

Hence
z = 37°
Keywords: Angles, Triangles
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Answer:
2094.5 muffins
Step-by-step explanation:
The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.
so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!
Answer:
Answer choice d
Step-by-step explanation:
To find the volume of this triangular prism, you first need to find the area of the triangular base. The formula for the area of a triangle is bh/2, which in this case is 3*2/2=3 square units. Multiplying this by the height of the prism, 3.5, you get a total of 10.5 cubic inches, or answer choice d. Hope this helps!
Answer:
(x - 9)2 Step-by-step explanation:
Step-by-step explanation:
a. y=mx+c
m = rise/run
3/2=m
1.5=m
b. y=1.5x+3
c. y int. x=0 x int. y=0
y=1.5(0)+3 0= 1.5x+3
y= 3 -3=1.5×
1.5x/1.5=-3/1.5
x= 2
d. y-y1 =m(x-x1)
y-3=1.5(×-2)
y-3 =1.5x-3
y-3+3=1.5x-3+3
y=1.5x +0
y int =3 x int =2