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3 years ago

LMN≅PQR

1 answer:

7 0

X = 56°.

Based on the congruence statement, m∠L = m∠P; m∠M = m∠Q; and m∠N = m∠R.

Since m∠L = 72°, m∠P = 72°.
Since m∠N = x°, m∠R = x°.
We are given that m∠Q = 52°.

We can find the value of x by subtracting the given angles from 180:
180-(72+52) = 180-124 = 56°

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out of 1200 student served at lunch 660 of the students get hamburgers what is the percent of people who got hamburgers

Mars2501 [29]

Answer:

45% of students got hamburgers :)

Step-by-step explanation:

3 0

2 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

Original price: $? Discount: 20% Sale Price: $75

Bad White [126]

Answer:

the answer is 60

Step-by-step explanation:

so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60

5 0

2 years ago

Find the average value of the function over the given interval and all values of x in the interval for which the function equals

MrRissso [65]

The average value of $f(x)=4x^3-3x^2$ over [-1, 3] is

$\displaystyle\frac1{3-(-1)}\int_{-1}^3(4x^3-3x^2)\,\mathrm dx=\frac14\left(x^4-x^3\right)\bigg|_{-1}^3=\frac{(3^4-3^3)-(1+1)}4=\boxed{13}$

8 0

2 years ago

Graph the system of equations.<br><br> {2x - y =4<br> {x - y = -2

Mnenie [13.5K]

Answer:

See attachment

Step-by-step explanation:

The given system is

2x-y=4

x-y=-2

We write the system in slope-intercept form:

y=2x-4

y=x+2

The first equation has slope of 2 and y-intercept at (0,-4)

When y=0, x=2.

We plot (0,-4) and (2,0) to graph this first equation.

The second equation has a slope of 1 and a y-intercept at (0,2)

Also when y=0, x=-2.

We plot (0,2) and (-2,0) and draw a straight line through them.

The graph of the system is shown in the attachment.

7 0

3 years ago