Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR = 
= 
= 48°
Answer:
Hope it helps
Step-by-step explanation:
I predict that most of the students that didn't sign up yet, are going to play tug of war. The 45 student that sign up for tug of war are at 22.5%, then for the relay race( 7.5 %) and hula hoop contest is 10 %. But it could change because only 65 sign up, and there 155 students left that has not sign up.
Answer:
Step-by-step explanation:
In this geometry, the triangles are similar. That means corresponding sides are proportional:
short side/long side = x/10 = 10/25
x = 100/25 = 4 . . . . multiply by 10
__
hypotenuse/short side = y/x = (x+25)/y
y² = 4(29) = 116 . . . . . use 4 for x; cross multiply
y = √116 ≈ 10.8
Plug y=2x+1 into <span>x+2y=17, we have:
x+ 2(2x+1)= 17
</span>⇒ x+ 2*2x+ 2*1= 17 (distributive property)
⇒ x+ 4x+ 2= 17
⇒ 5x= 17-2
⇒ 5x= 15
⇒ x= 15/5
⇒ x= 3
<span>
y= 2x+1= 2*3+1= 7
Final answer: x= 3, y= 7~</span>
