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olasank [31]
3 years ago
8

If M∠ ABD =64 and M∠CBD=30 then M∠ABC= Need help

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

\displaystyle m\angle ABC = 34^\circ

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

\displaystyle m\angle ABD = m\angle ABC + m\angle CBD

Substitute in known values:

\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)

And subtract. Hence:

\displaystyle m\angle ABC = 34^\circ

In conclusion, ∠ABC measures 34°.

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Which is a simplified form of the expression -4(n + 1) – (n + 2)?
Nadya [2.5K]

Answer:

-(5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = -4 n - 4:

-4 n - 4 - (n + 2)

-(n + 2) = -n - 2:

-4 - 4 n + -n - 2

Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = -5 n:

-5 n + (-4 - 2)

-4 - 2 = -(4 + 2):

-5 n + -(4 + 2)

4 + 2 = 6:

-5 n - 6

Factor -1 out of -5 n - 6:

Answer: -(5 n + 6)

4 0
3 years ago
Read 2 more answers
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Sara hina and Arslan have a total of RS 390in their wallet . Sara has Rs. 7more than Hina .Arslan has 3 times what sara has . Ho
Brums [2.3K]

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

5 0
3 years ago
How is the graph of the parent function y = StartFraction 1 Over x EndFraction transformed to create the graph of y = negative S
faltersainse [42]

Answer:

The answer is c horizontally compressed by a factor of 3 and reflected over the x-axis.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
a rectangle measures 3 yards by 4 feet what is the perimeter of the rectangle in inches show your work please
marissa [1.9K]
Length: 3 yds. 36 in= 1 yd; 108 in.=3 yds
Width: 4 ft. 12 in=1 ft.; 48 in= 4 ft.
Sinve there are two lengths and widths in a rectangle, I like to multiply them both by 2 and add up the results. You also get the same answer when you add everything up twice. My answer is 312 in.
7 0
3 years ago
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