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goldfiish [28.3K]
2 years ago
11

Find the value of x in the triangle shown below.​

Mathematics
1 answer:
Luba_88 [7]2 years ago
8 0

Answer:

37°

Step-by-step explanation:

By definition all internal angles of a triangle add up to 180°

Hence,

98° + 45° + x = 180°

x = 180° - 98° - 45° = 37°

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What is the y-intercept, b, of the additive relationship represented by this table?
algol13

Answer:

3

Step-by-step explanation:

First step: Find the slope, Using the Formula y2 - y1 / x2 - x1 =  

6-4=2  3-1=2 then u divde the y/x   2/2=1 So the slope is 1.

Step 2: Use the Slope- Intercept formula, Y=mx+b so 4 = 1(1)+b so 4 = 1 + b

Step 3: subtract 1 on both sides so 4-1=3 1-1=0  so 3 is the Y-Intercept.

3 0
2 years ago
What do i type for this question? please help me.
lozanna [386]
The answer is X>50. Hope this helps!
3 0
3 years ago
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Solve the following pair of simultaneous:<br><img src="https://tex.z-dn.net/?f=%205x%20%2B%202y%20%3D%20%20-%202%20%20%20%20%20%
Vladimir [108]

Answer:

x = -2 , y = 4

Step-by-step explanation:

given:

5x + 2y = -2                            <em>*4</em>

4x + 3y = 4                             <em>*5</em>

Solving simultaneously,

    20x + 8y = -8 ....eq 1

(-)  20x +15y = 20  ...eq 2

.............................................

-7y = -28

y = -28 / -7

y = 4

  • if y = 4

using equation 2,

20x +15(4) = 20

20x = -40

x = -2

8 0
2 years ago
Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
Solution for 8.5+4(1-2.5k)= -25.5
Nonamiya [84]
The solution is k=19/5
4 0
3 years ago
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