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MissTica
3 years ago
5

(Angles in

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

m<ABC = 116°

m<CDE = 67°

Step-by-step explanation:

✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)

m<ABC = 180 - 64° (Substitution)

m<ABC = 116°

✔️m<CDA = m<CDE + m<ADE (angle addition postulate)

m<CDA = m<CDE + 49°

m<CDA = m<ABC (opposite angles of a parallelogram are congruent)

m<CDE + 49° = 116° (substitution)

m<CDE = 116° - 49° (Substraction property of equality)

m<CDE = 67°

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From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her
Vinil7 [7]

Answer:

270.3\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ADE

Find the value of h1

See the attached figure

h1=AD

tan(25\°)=\frac{h_1}{180}

Solve for h1

h_1=(180)tan(25\°)\\h_1=83.94\ ft

step 2

In the right triangle ABC

Find the value of h2

See the attached figure

h2=BC

tan(46\°)=\frac{h_2}{180}

Solve for h2

h_2=(180)tan(46\°)\\h_2=186.40\ ft

step 3

Find the height of the neighboring building

we know that

The height of the neighboring building is equal to

h=h_1+h_2

substitute the values

h=83.94+186.40=270.34\ ft

Round to the nearest tenth of a foot

h=270.3\ ft

7 0
3 years ago
3 Shamaya went shopping for school supplies. She bought 2 packages of
allsm [11]

Answer:

a.  $17.83

b.  $82.17

Step-by-step explanation:

a.

We need to find total cost of all the items.

2 package of pencil for 1.98 each: Total = 1.98 * 2 = 3.96

1 binder for 7.69:  Total = 7.69

1 divider for 2.69:  Total = 2.69

1 pencil box for 3.49:  Total = 3.49

We sum all of these to get:

3.96 + 7.69 + 2.69 + 3.49 = $17.83

b.

She only spent 17.83 and she had 100 dollars. So we subtract amount spent (17.83) from total (100) to get remaining balance.

100 - 17.83 = $82.17

5 0
3 years ago
Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) =
Snezhnost [94]
F(x) = -1.50x + 40.....basically, this is saying that Gloria has  40 bucks in her lunch account and each meal costs her 1.50.

By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.
7 0
3 years ago
Write this trinomial in factored form.<br> 8x² - 9x + 1<br> Enter the correct answar.
nadezda [96]

Answer:

(8x-1) (x-1)

Step-by-step explanation:

8x² - 9x + 1

(8x -   ) (x - )

We know it is minus because we have -9x

We have +1 so both have to be -

To fill in the blanks we put 1

The only combination is 1*1 =1

(8x-1) (x-1)

Lets check

8x^2 -x -8x +1

(8x^2 -9x+1

4 0
3 years ago
Read 2 more answers
Help ASAP can someone solve this ?
IRINA_888 [86]

Answer:

u = 66°

v = 38°

Step-by-step explanation:

If this is a parallelogram:

u = 66°, angle opposite 3v = 3v

All four interior angles total 360°

Then:

3v + 3v + 66° + 66° = 360°

combine like terms:

6v = 228°

v = 38°

3 0
3 years ago
Read 2 more answers
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