Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Answer:
G. 32
Step-by-step explanation:
32 x 335 = 10720
16,100 - 10720 = 5380/190 = 28.3157894737
275 x 32 = 8800
18,800 - 8800 = 10,000/400 = 25 (This is the closer).
30 x 335 = 10,050
16,100 - 10,050 = 6050/190 = 31.8421052632
30 x 275 = 8250
18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)
25 x 335 = 8375
16,100 - 8375 = 7725/190 = 40.6578947368
25 x 275 = 6875
18,800 - 6875 = 11925/400 = 29.8125
24 x 335 = 8040
16,100 - 8040 = 8060/190 = 42.4210526316
24 x 275 = 6600
18,800 - 6600 = 12200/400 = 30.5
Answer:
x=anything less than 7
x=5
x=-2
x=-7
x= anything less than 7
Step-by-step explanation:
In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .
Substituting the values of sin (30) and cos(30, we will get
Multiplying both numerator and denominator by 2, we will get
TO simplify it, we need to multiply both numerator and denominator by square root 3.
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)
