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joja [24]
3 years ago
10

Determine the unknown angle measures in the figure

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Step-by-step explanation:

  • <2 ( exterior angle ) , and exterior angle is the sum of two opposite interior angle;

<2=63°+49°= 112°.

  • <5= 180°-31°-112°= 37°
  • <1+<5+63°= 180° = <1=180°-63°-37°= 80°
  • <1=<4(vertically opposite angle) = 80°.
  • <3+49°=180°(linear pair) = <3= 180°-49°= 131°.

hope this helps you.

dusya [7]3 years ago
6 0

Answer:

angle 3- 131

angle 2- 112

angle 5- 37

angle 1- 80

angle 4- 80

hope this helps :)- please crown me brainliest!!!

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Katerina is packing boxes of cookies to sell at the state fair. She has 2,528 cookies and puts 16 cookies into each box. How man
Nitella [24]

Answer:

158 boxes

Step-by-step explanation:

dived 2528 by 16 you get 158

3 0
3 years ago
25 points and brainiest<br> What is a fraction and how do you use it?
zheka24 [161]

Answer:

Step-by-step explanation:

A fraction is literally a division question in one number. You can use it to determine parts of something (parts of a whole)

3 0
4 years ago
"(b) use part (a) to find a power series for f(x) = 1 (4 + x)3 ."
Firdavs [7]
Assuming

f(x)=\dfrac1{(4+x)^3}

Recall that for |x|,

\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}

Denote the above by s(x). Then

s'(x)=\displaystyle\sum_{n\ge1}nx^{n-1}=\frac1{(1-x)^2}
s''(x)=\displaystyle\sum_{n\ge2}n(n-1)x^{n-2}=\frac2{(1-x)^3}

Now,

\dfrac1{(4+x)^3}=\dfrac1{4^3}\dfrac1{\left(1-\left(-\frac x4\right)\right)^3}=\dfrac1{2^7}\dfrac2{\left(1-\left(-\frac x4\right)\right)^3}

which means we have

f(x)=\dfrac1{2^7}s''(x)=\dfrac1{128}\displaystyle\sum_{n\ge2}n(n-1)\left(-\frac x4\right)^{n-2}

which is valid for \left|-\dfrac x4\right|, or |x|.
4 0
3 years ago
Dalton filled 5 jars using a total of 6 2/3 cups of coffee syrup. How many cups of syrup are in each jar?
Alja [10]

Answer:

1 1/3 cups of syrup per jar

Step-by-step explanation:

6 2/3 divided by 5 = 20/3 x 1/5 = 20/15 =  1 1/3 cups of syrup per jar

7 0
3 years ago
Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 deg
exis [7]

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

Please find the attachment.

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(9^{\circ})=\frac{380}{x}

x=\frac{380}{\text{tan}(9^{\circ})}

x=\frac{380}{0.158384440325}=2399.22557

Therefore, the ship is approximately 2399.23 meters away from the shore.

\text{tan}(5^{\circ})=\frac{380}{x+y}

x+y=\frac{380}{\text{tan}(5^{\circ})}

x+y=\frac{380}{0.087488663526}

2399.22557+y=4343.419875

y=4343.419875-2399.22557

y=1944.194305\approx 1944.19

Therefore, the both ships are approximately 1944.19 meters apart.

7 0
3 years ago
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