All categories

3 years ago

Below are two parallel lines with a third line intersecting them

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

5 0

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Paraphin [41]3 years ago

4 0

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

$x+114=180$

Subtract 114 from both sides to isolate x:

$x+114-114=180-114\\\\x=66$

The value of x is 66°.

:Done

You might be interested in

Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads

worty [1.4K]

She can buy maximum of $5$ packages while staying within her budget.

Minimum spending limit $=$ $ $50$ .

Maximum spending limit $=$ $ $60$ .

Cost of one package of beads $=$ $ $4.95$ .

Number of packages of beads bought $= 5$ .

Cost of one package of charms $=$ $ $6.55$ .

Let the number of packages of beads bought be $x$ .

$4.956 \times 5 + x \times 6.55 \geq 50$

$24.78+6.55x\geq 50$

$6.55x\geq 25.22$

$x\geq 3.85$

$4.956 \times 5 + x \times 6.55 \leq 60$

$24.78+6.55x\leq 60$

$6.55x\leq 35.22$

$x\leq 5.38$

So, she can buy maximum of $5$ packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults

7 0

2 years ago

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

3 years ago

Graph function need help

Viktor [21]

Theres no graph with the question ?

3 0

3 years ago

Integral sqrt(4+3x) dx

Alisiya [41]

Let 4 + 3x = u

then 3dx = du

or, 1/3∫u√du

= 1/3u^3/2/(3/2)

= 2/9∗(4+3x)^3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

Erica makes a banner using 4 sheets of paper. Each paper measues 9 inches by 10 incjes. What is the total area of ericas banner?

Law Incorporation [45]

The answer is 360 in² If you need to see work just tell me :)

6 0

3 years ago

Read 2 more answers