Answer:
exact form: 13/5
Decimal form: 2.6
x= 2 3/5
Step-by-step explanation:
3x+4x-7=8-3x+11
7x-7=8-3+11
7x-19-3x
7x-7 + 7 =-3x+19+7
7x=-3+26
10x=26
x= 13/5
Blank 1: Given
Blank 2 : AD is parallel to BC
Blank 3: <3≅<2
Blank 4: Transitive property of convergence
Blank 5: Definition of Bisect
Step-by-step explanation:
We need to fill in the blanks from the given options.
Blank 1:
ABCD is a parallelogram
This is given
So, blank 1: Given
Blank 2:
A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC
So, Blank 2 : AD is parallel to BC
Blank 3:
We are given <3≅<2
So, Blank 3: <3≅<2
Blank 4:
We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)
So, <1 ≅ <2 is due to transitive property of convergence
Blank 4: Transitive property of convergence
Blank 5:
DC bisects <ADE
A bisect is an line or angle that divides into exactly two parts.
So, Blank 5: Definition of Bisect
Keywords: parallelogram, bisection
Learn more about parallelogram at:
#learnwithBrainly
Answer:
The three unknown angles X, Y , and Z are:
X = 40, Y = 20, and Z = 120
Step-by-step explanation:
Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.
Then we can create the following equations:
X = 2 Y
Z = 100 + Y
and
X + Y + Z = 180
So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:
2 Y + Y + (100 + Y) = 180
4 Y + 100 = 180
4 Y = 80
Y = 80/4 = 20
Then X = 40, Y = 20, and Z = 120
I think what you meant was
(2x - 5)² = 11 -- (1)
Square root both sides of (1), i.e.
√(2x - 5)² = ± √11 -- (2)
From (2), we have
2x - 5 = ± √11 -- (3)
By adding 5 to both sides in (3), we have
2x = 5 ± √11 -- (4)
Divide both sides of (4) by 2, and we obtain
x = (5 ± √11)/2 -- (5)
From (5), the solution set of (1) is
x = (5 + √11)/2, (5 - √11)/2 ...Ans.
Answer:
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions................................100%
17 questions................................?%
she was 85% right