3 years ago

Find the measure of Angle 1

Mathematics

2 answers:

tresset_1 [31]3 years ago

8 0

AB || DC
so
m<1 = m<66

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

66º

Step-by-step explanation:

From the picture we know that AB║CD. Therefore, the line BD is a transversal line between two parallels.

We know that in these cases, the alternate interior angles are the same.

In the picture, angle 1 and the angle that measures 66º are alternate interior angles. Therefore, angle 1 measures 66º as well.

∠1 = 66º

You might be interested in

(09.02 MC) Kite DCFE is inscribed in circle A shown below.

AlexFokin [52]

<span>m∠DEF= 1/2(the measure of the arc DEF
</span><span>m∠DEF= 1/2(232)
=116</span>

4 0

3 years ago

Read 2 more answers

Determine the value of base b if (152)b = 0x6A. Please show all steps.

DaniilM [7]

Assuming 0x6A is given in base 16, first convert $152_b$ and $6A_{16}$ to a common base, say base 10:

$152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}$

$6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}$

Then

$b^2+5b+2=106$

$b^2+5b-104=(b-13)(b+8)=0$

$\implies b=13$

3 0

3 years ago

Read 2 more answers

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernel

V125BC [204]

Let x be the no of boxes.

120x = 14501
x = 14501/120

Upon division the quotient +1 = The no of boxes required and
The remainder is the amount of popcorn in the last box

No of boxes = 121 boxes
Kernels in the last box = 101 kernels

6 0

3 years ago

A garden has the form of a right triangle. One leg of the triangle is formed by a 300-ft long sea wall. The hypotenuse of the tr

lesya [120]

Answer:

27,040,000 = 27,040,000

Step-by-step explanation:

3 0

2 years ago

Arrange 34,23,42,35,41,19,23 7.3 4.02,5 in ascending order

Bond [772]

4.02, 5, 7.3, 19, 23, 23, 34, 35, 41, 42

(Numbers are organized in ascending order from smallest to largest)

8 0

3 years ago