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1 year ago

Please help me

Mathematics

2 answers:

Sedbober [7]1 year ago

7 0

Answer:

∠ABD = 43°

Step-by-step explanation:

Let's solve !

⇒ ∠BAC = ∠BCA = 55° (Angles opposing equal sides)

⇒ ∠BDA = 180° - 98° (Linear pair)

⇒ ∠BDA = 82°

⇒ ∠BAC + ∠BDA + ∠ABD = 180° (Angle Sum Property)

⇒ ∠ABD + 82° + 55° = 180°

⇒ ∠ABD + 137° = 180°

⇒ ∠ABD = 43°

BabaBlast [244]1 year ago

5 0

Answer:

As ΔABC is an isosceles triangle:

⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)

⇒ ∠BAC = ∠BCA = 55°

⇒ ∠BCA = ∠BAD = 55°

Angles on a straight line sum to 180°

⇒ ∠ADE + ∠EDC = 180°

⇒ 98° + ∠EDC = 180°

⇒ ∠EDC = 82°

As BE intersects AC, the vertically opposite angles are equal:

⇒ ∠BDC = ∠ADE = 98°

⇒ ∠ADB = ∠EDC = 82°

Interior angles in a triangle sum to 180°

⇒ ∠BAD + ∠ADB + ∠ABD = 180°

⇒ 55° + 82° + ∠ABD= 180°

⇒ ∠ABD = 180° - 55° - 82°

⇒ ∠ABD = 43°

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9. A car dealership offers a loan with 4% interest for 48 months, and you plan to purchase a car for $20,000. You can afford a d

Lady bird [3.3K]

SOLUTION

Since you can afford a down payment of $2,500, the remaining money needed to purchase the car becomes

$\begin{gathered} 20,000-2,500 \\ =17,500 \end{gathered}$

Now, we will find the simple interest on $17,500 for 48 months, which is 4 years. This becomes

$\begin{gathered} I=\frac{PRT}{100} \\ I=\frac{17,500\times4\times4}{100} \\ I=2,800\text{ dollars } \end{gathered}$

(a) What will your monthly payment be? $

We will add this interest to the $17,500 and divide by 48 months to get the monthly payment. This becomes

$\begin{gathered} 17,500+2,800=20,300 \\ \frac{20,300}{48}=422.91666 \\ =422.92 \end{gathered}$

Hence, the answer is $422.92

(b) How much will you pay in total for the car? $

To get this, we add the $20,300 (that we divided by 48 months), to the initial down payment made. This becomes

$\begin{gathered} 20,300+2500 \\ =22,800 \end{gathered}$

Hence, the answer is $22,800

We have initially found the interest as 2,800 dollars.

Hence the answer is $2,800

4 0

1 year ago

Final question! Thanks to everyone who has helped!

WINSTONCH [101]

Answer:

x = 4

Step-by-step explanation:

11x - 7x = 16

11x - 7x = 4x

16 divided by 4 = 4x

5 0

2 years ago

Read 2 more answers

Find each number. Round to the nearest tenth if necessary

Pavel [41]

Answer:

96
6.9
25%
8%
79
33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

80% of 120.
115% of 6
What percent of 128 is 32?
3 is what percent of 36?
23.7 is 30% of what number?
71/2% of what is 12?

1) 80% of 120

= $\frac{80}{100} \times 120= 8\times 12$

= 96

∴ 80% of 120= 96

2) $115\%\ of\ 6$

= $\frac{115}{100}\times 6= 1.15\times 6$

∴ $115\%\ of\ 6$ = 6.9

3) What percent of 128 is 32?

= $\frac{32}{128} \times 100$

= $25\%$

4) 3 is what percent of 36?

= $\frac{3}{36} \times 100$

= $8\%$

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ $\frac{30}{100} \times x= 23.7$

Cross multiplying

⇒ $x= \frac{23.7\times 100}{30}$

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ $\frac{71}{2} \times 100\times x= 12$

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0

2 years ago

I need help Asap!!!!!!!!!

kobusy [5.1K]

-8 and 3 ...... I think

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2 years ago

Rate of change for 6y=8x-40

larisa [96]

Hello,

y=8/6 x-40/6
==>rate=8/6=4/3

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2 years ago