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Rzqust [24]
3 years ago
8

Geometry will mark brainliest circles

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

1. (19x - 49)+(5x + 37) = 180

2. 77°

Step-by-step explanation:

1. Since the two arc measures will equal 180°, you can write the equation (19x - 49)+(5x + 37) = 180

2. By solving the equation, we can find that x=8. Plugging in the value for arc CD's equation, you will find that it is equal to 77°.

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years
forsale [732]

Answer:

\$13,107.96

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}

8 0
3 years ago
A side of the triangle has been extended to form an exterior angle of 128°, find the value of x
Tamiku [17]

Answer:

x=52

step by step:

x+128=180

x=180-128

x=52 .

5 0
3 years ago
Victor is ordering pizzas for a party. He would like to have 1/4 of a pizza for each guest. He can only order whole pizzas, not
scoundrel [369]
Since everyone is getting a quarter of a pizza, 27 divided by 4 is 6.75. 6.75 rounded to a whole number is 7.
3 0
4 years ago
If the original function () = 22 − 1 is shifted to the left 3 units to make the
Rom4ik [11]

A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

If k is positive, the function is translated to the left. If k is negative, the function is translated to the right.

So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

4 0
3 years ago
What is the area of this figure?
Alborosie

Answer:

146

Step-by-step explanation:

Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:

        A = \frac{a+b}{2} * h          

in this situation

a = 4

b = 14

h = 10

Now we plug it into the formula which will look like:

       A = \frac{4+14}{2}*10

if we solve it:

4+14 = 18

18/2 = 9

9*10 = 90

so the area of the trapezoid is 90

Now we find the area of triangle. to find the area of a triangle we use the formula:

   A = \frac{1}{2} * b * h

in this situation

b = 14

h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )

Now we put the numbers into the formula  which will look like:

    A = \frac{1}{2}*14*8

if we solve it :

14*8 = 112

112*\frac{1}{2} = 56

so the area of the triangle is 56

Now we add the area of both shapes:

56 + 90 = 146

area of the big shape = 146

Have a wonderful day

7 0
3 years ago
Read 2 more answers
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