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OLga [1]
3 years ago
6

What is the measurements of A.30 B.45 C.75 D.90

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

m<JAK=3x

m<JAK=180-90-30=60

m<LAF=m<JAK=60

60+5x+3x=180

8x=120

x=15

m<JAH=3x=3(15)=45 degrees

answer: 45 degrees

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4. Diego is thinking of two positive numbers. He says, "If we triple the first number and
aleksandr82 [10.1K]

Answer:

3<em>x </em>+ 2<em>y</em> = 34. and two possible pairs of positive numbers are  (<em>x</em>, <em>y</em>) = (10, 2) and (<em>x</em>, <em>y</em>) = (4, 11).

Step-by-step explanation:

 Let the First positive number be <em>x</em> and second positive number be <em>y.</em>

Triple of first number = 3<em>x</em>

double of second number = 2<em>y</em>

According to question,

3<em>x </em>+ 2<em>y</em> = 34

Therefore, the equation is 3<em>x </em>+ 2<em>y</em> = 34

So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34

Now,  3<em>x </em>+ 2<em>y</em> = 34

3<em>x </em>= 34 - 2<em>y</em>

Let x = 10 and by substituting its value in above expression,

3 \times 10 = 34 - 2y

30 = 34 - 2y

2y = 34 - 30

2y = 4

y = 2

Therefore first pair (<em>x</em>, <em>y</em>) = (10, 2)

In the same way put x = 4 then,

3<em>x </em>= 34 - 2<em>y</em>

3 \times 4 = 34 - 2y

2y = 34 - 12

2y = 22

y = 11

Therefore first pair (<em>x</em>, <em>y</em>) = (4, 11)

Therefore, (<em>x</em>, <em>y</em>) = (4, 11) and  (<em>x</em>, <em>y</em>) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34.  

8 0
2 years ago
Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

D_3=\$3.34\times1.06=\$3.54

Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

3 0
2 years ago
Given that f(x) = x² + 3x 28 and g(x) = x + 7, find f(x) + g(x) and
ozzi

Answer:

f(x) + g(x) = x^2 + 4x + 35

Step-by-step explanation:

Add like terms from f(x) and g(x):

f(x) + g(x) = x^2 + 3x + 28 + x + 7, or

f(x) + g(x) = x^2 + 4x + 35

7 0
2 years ago
A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
trasher [3.6K]
Hello!

The area of a cylinder formula- Area = Pi * radius squared * height 

<span>In this case we are looking for height (altitude) </span>

<span>plug in our known values </span>

<span>500 = area </span>
<span>4 = radius </span>
<span>Pi ~ 3.141592654 </span>

<span>to find height... </span>

<span>500 = 3.141592654 * (4)^2 * height </span>

<span>500 = 3.14 * 16 * height </span>

<span>500 = 50.26 * height </span>

<span>divide both sides by 50.26.. </span>

<span>9.947 = height 
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<span>9.95 is the Correct Answer ( letter C)
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Hope this Helps! Have A Wonderful Day! :)
4 0
3 years ago
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Krystal needs at least $130 to go on a trip. Her father has given her $45. Which equality could be used to determine e, the rema
lina2011 [118]

The Least amount of money we need is 130

She already has 45

She needs "e" more

Therefore:

45 + e ≥ 130

4 0
3 years ago
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