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bixtya [17]
3 years ago
7

Lines a and b are parallel. What is the value of x? 1) 15 2) 16 3) 56 4) 64

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

2) 16

Step-by-step explanation:

180 - 124 = 56

180 - 56 - 60 = 64

64 ÷ 4 = 16

x = 16

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Frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month. Write an equation that Frank can solve to d
Dmitrij [34]

Since, Frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month.

Now, we have to determine the amount of money still he has to save (y) in relation to the number of months (x) in which he has saved money.

Let 'y' be the amount of money he still have to svae.

Let 'x' be the number of months he has saved money.

Total money saved yet = $75 \times x= $75x

He has to save $600 in total.

So, Money he still have to save = 600 - 75x

So, y=600-75x is the required equation.

4 0
3 years ago
Read 2 more answers
7z= 21<br> 2x + 3y – z =-2 x=_y=_2=<br> x + 2y + 3z = 9
lbvjy [14]

Answer:

1)  7(3) = 21

Step-by-step explanation:

7 0
3 years ago
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
monitta

<u>Answer:</u> The ratio that represents the cosine of ∠T is \frac{56}{65}

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

\cos \theta=\frac{\text{base}}{\text{hypotenuse}}

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

\cos \theta=\frac{UV}{TU}=\frac{56}{65}

Hence, the ratio that represents the cosine of ∠T is \frac{56}{65}

6 0
2 years ago
The function y varies jointly as x and z, and y = 24 when x = 4 and z = 18. What is the value of when x = 15 and z = 10?
svlad2 [7]

Answer:

0.3

Step-by-step explanation:

5 0
3 years ago
Find the roots of the polynomial equation.
True [87]

Answer:

3 ± i5

Step-by-step explanation:

Here we're given four sets of possible roots of the given polynomial.   Each set consists of two complex quantities and 1 real quantity.

First, we determine whether +4 is a root, then whether -4 is a root.  Let's use synthetic division to do that:

     -----------------------

4   /  1   -2    10   136

             4      8    72

    ---------------------------

        1     2    18    208     Since the remainder is not zero, 4 is not a root.

Eliminate the first two possible answer choices, and assume that -4 is a root.

Let's check this out to be certain:

     -----------------------

-4  /  1   -2    10   136

             -4   24  -136

    ---------------------------

        1     -6    34    0

Since the rem. is zero, -4 is a root, and the coefficients of the 2nd-degree quotient are 1, -6 and 34.

In other words, a = 1, b = -6 and c = 34.

Let's apply the quadratic rule to find the roots:

       6 ± √(36 - 4[1][34] )       6 ± √ (-100)

x = ------------------------------ = ----------------------- = 3 ± i5

                     2                                   2

So the correct answer is the last one of the four given possible answers:

3 ± i5

3 0
3 years ago
Read 2 more answers
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