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Inessa [10]
2 years ago
10

Solve. d + 8 < 35 A d < –27 B d < 27 C d < –43 D d < 43

Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Hello there! :)

Answer:

\boxed{D

<em><u>*THE ANSWER MUST HAVE A POSITIVE SIGN!*</u></em>

Step-by-step explanation:

First, you subtract by 8 from both sides of an equation.

d+8-8

Then, you subtract by the numbers from left/right.

35-8=27

\boxed{D, <em>is the CORRECT/FINAL ANSWER!</em>

<em>Hope this helps you!</em>

<em>Have a nice day! :)</em>

<em>:D</em>

<em>-Charlie</em>

<em>Thanks!</em>

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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
When I count as a principal of $1000 and earns 4% simple interest per year and other account as a principal $1000 and earns 4% i
OLga [1]

Answer: the account that earned compound interest has the greater balance at the end of four years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1000

R = 4%

T = 4 years

I = (1000 × 4 × 4)/100 = 160

Total amount earned is

1000 + 160 = $1160

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,.

A = 1000(1+0.04/1)^1 × 4

A = 1000(1.04)^4

A = $1170

3 0
3 years ago
My area is 93 x 81. what is the square footage
Sidana [21]
What you do is you do 93 x 81.

                             93
                          x 81
                      ------------
                              93
                        + 7440
                      -------------
                           7,533

That's the square footage. Hope it helps!
5 0
3 years ago
Jeff had 1 A,4Bs and 2 C's what was he's gpa
Mandarinka [93]

Answer:

Hes Gpa Is that man is good. helps :0

Step-by-step explanation:

8 0
2 years ago
Is number 4 correct?
Strike441 [17]

Answer:

sure

Step-by-step explanation:

6 0
2 years ago
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