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snow_lady [41]
2 years ago
10

What are the measures of Angles d, e, and f? Show your work and explain your answers. (10 points)

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Answer:

Part A - Angle d is 29º

Part B - Angle e is 61º

Part C - Angle f is 95º

Part D - the box represents a 90º angle

Step-by-step explanation:

Angle d is 29º because of the vertical angles theorem

Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º

Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180

The box in the triangle is just a symbol indicating a 90º angle

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rectangular solid that is 6-cm-by-6 cm-by-6 cm is painted on all six faces. then the solid is cut into cubes that measure 2 cm o
Nitella [24]
If you check the picture below

the rectangular solid is a 6x6x6, so all sides are equal thus is a cube

is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,

now, let's say each of those 6 faces are cut in 2cm

how many of those 2cm pieces will each have?   so get that amount for each and sum them up, that's how many of the cubes have one face painted

only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves

keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below

6 0
3 years ago
Read 2 more answers
A survey of 100 people found that 35 people exercise in
Kruka [31]

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

8 0
2 years ago
32 = 4(n – 5) and -s + 11 = 17 please solved Both of the following​
valina [46]

Answer:

n=13 s=-6

Step-by-step explanation:

Hope this helps :)

4 0
2 years ago
Read 2 more answers
Solve quadratic equation (x-3)^2+5=14
loris [4]
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0

5 0
3 years ago
Only answer if you’re a hundred percent sure. The answer has to be a single number.
solniwko [45]

Answer:

The answer should be -4/1 or just -4.

Step-by-step explanation:

y/x

The change in y is reducing by 4. The change in x is adding 1

3 0
2 years ago
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