y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
C. two thirds x + 10 = 21
Step-by-step explanation:
Given
Price of adult ticket = $21.00
Let x be the price of student ticket
Then
two third of the student ticket will be:
The statement $10.00 more than two third of student ticket:
As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement
So, both will be equivalent
Solving this equation for x will give us the price for the student ticket.
Hence,
C. two thirdsx + 10 = 21 is the correct answer ..
Answer:
Step-by-step explanation:
a)3*4*2*b = 24b
Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied
b) c⁵ *c = c⁵⁺¹ = c⁶
c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷
Answer:
1 : a set each of whose elements is an element of an inclusive set. 2 : division, portion a subset of our community.
Step-by-step explanation:
In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion
hope this helps
This question is actually a lot simpler than it seems
for a quarter think about money - a quarter is 25 cents or 1/4 of a dollar - so 1 and a quarter yard in decimal form is equivalent to 1.25
now you need to find how many 1 and a quarter yards are in 3 yards - to do this you simply divide 3 by 1.25
3/1.25 = 2.4
so julie can cut 2.4 1 and a quarter long pieces from the string
if you have any questions about how i answered this question please let me know:)
