Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values

solve for x

<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
Answer:
Total cost = 16
Step-by-step explanation:
In the equation of cost, we can see that each rose costs 3 and each petunia costs 2.5.
To find the total cost of two roses and four petunias, we can use the values r = 2 and p = 4 in the equation given, so:
Total cost = 3r + 2.5p = 3*2 + 2.5*4 = 6 + 10 = 16
So the total cost of two roses and four petunias is 16.
<h3>
Answer: 3 m/s^2</h3>
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According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
Answer:
4/5 and the second one is 3
Step-by-step explanation:
the fact that you dont, know this is sad.
Step-by-step explanation:
(x + y , x - y) = (4 , 2)
x+y=4 ------(1)
x-y=2 ------(2)
_____ (adding two equation)
2x=6
x=3
From equation 1
3+y=4
y=1