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Amanda [17]
3 years ago
8

Find the measure of each angle (in degrees) of

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

∠A = 88°

∠B = 92°

∠C = 88°

∠D = 92°

Step-by-step explanation:

∠A + ∠B = 180°

(2x + 4) + (3x - 34) = 180

reduce:

5x - 30 = 180

5x = 210

x = 42

∠A = 2(42) + 4 = 88°

∠B = 3(42) -34 = 92°

∠C = ∠A = 88°

∠D = ∠B = 92°

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Does anybody have the answer to this
saveliy_v [14]

Answer:

a) 7

Step-by-step explanation:

a+b = 12

b+c = 17

a+b+c=22

12+c=22

c=10

b=7

a=5

5 0
2 years ago
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

16.90x+4y=36.35

To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

12.90x=19.35

Divide both sides by 12.90.

x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

1.5+y=4.25

y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

5 0
3 years ago
A theater can seat 170 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are the
maks197457 [2]
Answer:number of rows =10
number of places in row = 17

Step-by-step explanation:
number of rows =N
number of places in row = N+7
N(N+7)=170
N^2+7n-170=0
(N+17)(N-10)=0
N1=-17
N2=10
We can`t take negative value for quantity of smth so we throw N1 away
From that number of rows =10
number of places in row = 10+7=17
5 0
2 years ago
Solve the system by substitution.
tino4ka555 [31]
As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
3 0
3 years ago
Help me with the work
Tpy6a [65]

Answer:

Option B k > 0

Step-by-step explanation:

we know that

Observing the graph

The slope of the line is positive

The y-intercept is negative

we have

3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)

The slope of the line is equal to

m=\frac{1}{3}[5k+2]

Remember that the slope must be positive

so

5k+2> 0\\ \\k > -\frac{2}{5}

The value of k is greater than -2/5

Analyze the y-intercept

(2-\frac{4}{3}k) < 0\\ \\ 2 < \frac{4}{3}k\\ \\1.5 < k\\ \\k > 1.5

1.5 is greater than zero

so

the solution for k is the interval ------> (1.5,∞)

therefore

must be true

k > 0

5 0
3 years ago
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