Answer: y = 2
Step-by-step explanation:
First, we combine like terms.
7y-4y = 6
Since the terms are already combined, we can solve this equation.
First, we do 7y-4y.
7y-4y = 6
3y = 6
Now, we solve for y.
3y = 6
y = 6/3
y = 2
To solve the equation 7y - 4y = 6 for y, we first simplify the left side to get 3y = 6. Then we divide both sides by 3 to get y = 2.
The given problem is a simple algebraic equation which we need to solve for y. The equation given is 7y - 4y = 6.
First, we simplify the left side of the equation by subtracting the coefficients of y: 7y - 4y equals 3y. So our equation is now 3y = 6.
To get y by itself on the left side of the equation, we need to divide both sides of the equation by 3. This gives us: y = 6/3 .
Therefore, the value of y that satisfies the equation is y = 2.
#SPJ11
–7 + 8 + 10 ÷ (–2)
πr2h. The radius of a cone is 5 cm and the height of a cone is 10 cm. What is the approximate volume of the cone?
A) 2,356 cm3 (exponent )
B) 52 cm3 (exponent )
C) 262 cm3 (exponent )
D) 524 cm3 (exponent )
Answer:
The smallest possible value of the divisor is 19
Step-by-step explanation:
The given numbers for division are;
3759 and 4139, the remainder = 16
Let x represent the number
Therefore, we have;
x > 16
x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123
The factors of 3743 obtained from an online resource are 1, 19, 197, 3759
The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123
The common factors of 3743 and 4123 are 1, 19
Given that x > 16, we have, x = 19
Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles
Answer:
The correct option is 1.
Step-by-step explanation:
Statement Reasons
1. AB is parallel to DC and Definition of parallelogram
AD is parallel to BC
2. angle 1 = angle 2, If two parallel lines are cut by a
angle 3 = angle 4 transversal then the alternate
interior angles are congruent
3. BD = BD Reflexive Property
4. ASA postulate
5. AB = DC, AD = BC (CPCTC)
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.
According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Therefore option 1 is correct.
Answer:
alternate interior angles, i took the test and got it right
Step-by-step explanation: