Answer:
4
Step-by-step explanation:
PEMDAS
Answer:

Step-by-step explanation:
Hello There!
We can solve for x using trigonometry
More specifically the law of sines
In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)
so to find x we use this equation

step 1 multiply each side by sin 59
now we have

so we can conclude that x = 14.6
Answer:
Step-by-step explanation:
hello :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
in this exercice : x_1 = -1 y_1 = 4 m = 3
so : y - 4 = 3(x +1) ...an equation for this line .
Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Assuming those are the legs of the triangle and that you need to find the hypotenuse... I would use the formula: a^2+b^2=c^2
It doesn't matter what a and b are, just fill it in.
25^2+35^2=c^2
625+1225=c^2
1850=c^2
Take the square root of 1850, it isn't a perfect square so I got: 43.01.
If you want, just round it to 43, idc.
So, if I were to check my work, I would need to remember that the hypotenuse is the longest side.
Since 43 is the hypotenuse, it is the longest side.