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inessss [21]
2 years ago
10

Angle sum Theory

Mathematics
1 answer:
maria [59]2 years ago
3 0

Step-by-step explanation:

step 1. so ABC is a triangle.

step 2. interior angles of a triangle add up to 180°

step 3. <A + <B + <C = 180°

step 4. 54 + <B + 74 = 180°

step 5. <B = 52°.

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What is the contra positive of the statement if 9x=27, then x=3
Karo-lina-s [1.5K]

Answer:

If 9x is not =27, then x is not =3

Step-by-step explanation:

Going out on a limb here, please ignore if I'm missing it:

If 9x is not =27, then x is not =3

(I can't type the equal sign with a slash through it.)

7 0
3 years ago
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Sveta_85 [38]

Answer:

b= $3.99×2 + $2.50= $10.48

Step-by-step explanation:

We have the following unknowns:

p: number of people in the club

f: ounces of fruit punch

c: ounces of cheese

b: budget in dollars

We know that

p=12

Priya is preparing 8 ounces of fruit punch per person, so:

f= 8×p = 8×12 = 96

We need 96 ounces of fruit punch

Priya is preparing 2 ounces of cheese per person, so:

c= 2×p = 2×12 = 24

We need 24 ounces of cheese

A package of cheese contains 16 ounces and costs $3.99. In order to get all the cheese we need, Priya have to buy 2 packages of cheese.

2×16=32

32>24

A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Then, Priya have to buy only one gallon jug.

128>96

The budget would be:

b= $3.99×2 + $2.50×1

3 0
3 years ago
Soleil and Malvin each work a job. Soleil starts with $700 and makes $100 per day. Malvin starts out with $200 and makes $120 pe
Goshia [24]

Answer:

Soleil and Malvin would have $ 5,000 all together after 13 days.

Step-by-step explanation:

Since Soleil and Malvin each work a job, and Soleil starts with $ 700 and makes $ 100 per day while Malvin starts out with $ 200 and makes $ 120 per day, to determine after how many days will they have at least $ 5000 all together it must be done the following calculation:

5,000 - 700 - 200 = 4,100

200X + 120X = 4,100

320X = 4,100

X = 4,100 / 320

X = 12.8

So Soleil and Malvin would have $ 5,000 all together after 13 days.

5 0
3 years ago
Suppose the solutions of a homogeneous system of four linear equations in five unknowns are all multiples of one nonzero solutio
Akimi4 [234]

Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.

Yes, it's miles true.

Consider the machine as Ax = 0. in which A is 4x5 matrix.

From given dim Nul A=1. Since, the rank theorem states that

The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation

rank A+ dim NulA = n

dim NulA =n- rank A

Rank A = 5 - dim Nul A

Rank A = 4

Thus, the measurement of dim Col A = rank A = five

And since Col A is a subspace of R^4, Col A = R^4.

So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.

8 0
3 years ago
If i only have 1/3 cups how many 1/3cups do i need to make a cup? answer asap!?​
Mrac [35]

Answer:

2 1/3 ssssssssssssddddss

6 0
3 years ago
Read 2 more answers
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