All categories

3 years ago

Please explain how and give the answer!

Mathematics

2 answers:

Olegator [25]3 years ago

8 0

Opposite angles of a rhombus are congruent
so
m<A = m<C
m24(10-x)=6(x+15)
240 - 24x = 6x+90
30x = 150
x = 5

24(10-x) = 24(10-5) = 24(5) = 120
so m<B=m<D = 120

rhombus sum of interior = 360

360 - 120 -120 = 120

m<A = m<C = 120/2 = 60

answer

m<C = 60

nadezda [96]3 years ago

7 0

The mass of b equals the mass of d so
24(10-x)=6(x+15)
240-24x=6x+90
30x=150
x=5
mass of d is 6(5+15)=6*20=120
mass of c=180-mas of d=180-120=60°

You might be interested in

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago

I NEED HELP PLEASE ASAP! :)

bonufazy [111]

Answer:

See below.

Step-by-step explanation:

Again, another great question!

This should be under physics, as it involves Work = Force * Distance. As Anne pushes the wheelbarrow with a force of 70 Newtons with respect to an angle of 50 degrees horizontal, the horizontal force is 70( cos 50 ). The distance over which the work is done is 25 meters, so work should be -

Work = ( 70( cos 50 ) )( 25 ),

Work = ( About ) 1124.87 Joules

The work done when Anne pushes the wheelbarrow a distance of 25 meters, is 1124.87 Joules

6 0

3 years ago

What would the answer be for this equation 7x/20 - 5x/12

polet [3.4K]

Answer:

$\frac{1}{15} x$