1 year ago

In the diagram below AB is parallel to CD what is the value of y

Mathematics

2 answers:

viva [34]1 year ago

6 0

Answer:

Option - A. 60°

Step-by-step explanation:

AB is parallel to CD and given angle is alternate interior angle to y

∴ y = 60°

Mashutka [201]1 year ago

5 0

Answer:

y=60 due to adjacent angle

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Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130

Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T = 20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0

1 year ago

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?

klasskru [66]

Answer:

$PS = 7x- 7$

Step-by-step explanation:

Given

Straight Line, PS

Such that

$PR = 4x -2$

$RS = 3x - 5$

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

$PS = PR + RS$

Substitute $PR = 4x -2$ and $RS = 3x - 5$

$PS = 4x - 2 + 3x - 5$

Collect like terms

$PS = 4x + 3x- 2 - 5$

$PS = 7x- 7$

Hence, the length of PS is $PS = 7x- 7$

8 0

2 years ago

Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?. a) m<1=m<2. b)m&lt

e-lub [12.9K]

M<1≠m<2
m<4≠m<6
m<3 + m<5 = 180° ≠ 90°
m<7≠m<8
Answer:
none of them.

7 0

1 year ago

Read 2 more answers

One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of t

Alika [10]

Answer:

Im pretty sure its C

7 0

2 years ago

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3

enot [183]

Answer:

(3a + 2b)3

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3

Step 5:

Factoring: 27a3+54a2b+36ab2+8b3

8 0

1 year ago