jonah wants to buy two copies of a book. which algebraic expression could jonah use to find the value of the items

Sloan [31]

Answer:

5

Step-by-step explanation:

Refer to attachment for marking of sides.

In the given figure , ∆ABC , ∆ABD and ∆ADC are right angled triangles . Therefore here we can use the Pythagoras theorem , as ,

$\longrightarrow$ base² + perpendicular² = hypotenuse ² .

• In ∆ABD , we have ;

$\longrightarrow$ AB² + BD² = AD²

$\longrightarrow$ AB² + x² = 10²

$\longrightarrow$ AB² = 10² - x²

$\longrightarrow$ AB² = 100 - x²

$\rule{200}2$

• Again in ∆ADC , we have ;

$\longrightarrow$ AC² + AD² = CD²

$\longrightarrow$ AC² = 20² - 10²

$\longrightarrow$ AC² = 400 - 100

$\longrightarrow$ AC² = 300

$\rule{200}2$

Again in ∆ABC , we have ,

$\longrightarrow$ AC² = AB² + BC²

Substituting the values from above ,

$\longrightarrow$ 300 = 100-x² + (20-x)²

$\longrightarrow$ 300 = 100 - x² + 400 + x² - 40x

$\longrightarrow$ 40x = 500 - 300

$\longrightarrow$ 40x = 200

$\longrightarrow$ x = 200/40

$\longrightarrow$ x = 5

<h3>Hence the required answer is 5 .</h3>

8 0

2 years ago

PLEASE HELP ASAPPPP. WILL GIVE BRAINLIEST AND 5 STAR RATING. thank u in advance !!

EastWind [94]

.16ml lost in 1 Minute

7 0

2 years ago

Can some help me with this, it’s urgent pls? It’s geometry

Mama L [17]

6. the name is circle x (due to the central point)
7. the diameter is segment WY
8. radius is 1/2 of the diameter so 1/2(15) = 7.5 meters
9. diameter is 2 times the radius so 2(4) = 8 cm
10. segment XW, segment XZ, segment XY
11. arc YW, arc WZ, arc ZY

7 0

2 years ago

Someone please help me will give brainliest!!!!!

ololo11 [35]

I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept. Write the equation:

y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?

3 0

3 years ago

The expression below shows the population of foxes in a forest after 12x years.

Mazyrski [523]

We know that:
$(x^{m}) ^{n}= x^{mn}$
$f(x)= 50*(1.05) ^{12x} = 50 * ( 1.05^{12})^{x} = \\ =50*(1.7959) ^{x}$
Answer: A ) f ( x ) = 50(1.05)^x

6 0

3 years ago

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