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Paul [167]
2 years ago
14

Angle ABC is a right angle. Write and solve an equation to determine the value of the variable, x. Then determine the measures o

f ∠ABD and ∠DBC. SHOW ALL WORK *

Mathematics
2 answers:
Nookie1986 [14]2 years ago
6 0
You are told that the triangle is a right triangle so you know that the angle ABC is 90 degrees. From there you can say that the edition of both expressions will be equal to 90. You use this information to create an equation as the one I showed and solve for x using distributive property, combining like terms, opposite operations and commutative property. Once you have the value of x you can substitute into each expression to find out the measurement of ABD and DBC

Gnesinka [82]2 years ago
6 0

Answer:

3(x+8) + 2x -4

3x +24+ 2x -4

3x+2x+24-4

5x+20

5x +20=90

5x=90-20

5x=70

5x/5= 70/5

x=14

<ABD= 66°

3(14+8)

3× 22

=66

<DBC= 24°

2(14)-4

2×14-4

28-4

=24

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Is DEF a right triangle? True or false
umka2103 [35]
Short answer = false
Remark

If it is a right triangle, it will obey the Pythagorean Equation. a^2 + b^2 = c^2. Let's see if it does.

Equation
a^2 + b^2= c^2
c must be the longest line. (Hypotenuse)

Givens
a = 24
b = 17
c = 40

Sub and Solve
a^2 + b^2 = c^2
17^2 + 24^2 = c^2 [We'll see if this comes out to 40]

289 + 576 = c^2
865 = c^2 which is no where near what 40^2 equals. 40^2 = 1600

Short answer False

Square root of 865 = (865)^1/2 = 29.4
5 0
3 years ago
Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc
mihalych1998 [28]

Question is Incomplete; Complete question is given below;

Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.

Answer:

The system of equations are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

The reasonable price for pair of pants is $20.

Step-by-step explanation:

Let the price of shirt be 'x'.

Let price of pair of pants be 'y'.

Given:

Olivia purchased 8 shirts 4 pairs of pants for $176

So we can say that;

8 multiplied by the price of shirt plus 4 multiplied by the price of pair of  pants is equal to 176.

framing in equation form we get;

8x+4y=176 \ \ \ \ equation \ 1

Also Given:

Raheem purchased 3 shirts and 4 pairs of pants for 116.

So we can say that;

3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.

framing in equation form we get;

3x+4y=116 \ \ \ \ equation \ 2

Hence the system of equation are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

Now by using elimination method we will subtract equation 2 from equation 1 we get;

(8x+4y)-(3x+4y)=176-116\\\\8x+4y-3x-4y = 60\\\\5x =60\\\\x=\frac{60}{5}=\$12

Now Substituting the value of x in equation 1 we get;

8x+4y=176\\\\8\times 12+4y =176\\\\96+4y=176\\\\4y =176-96\\\\4y = 80\\\\y= \frac{80}{4} =\$ 20

Hence The reasonable price for pair of pants is $20.

4 0
2 years ago
Simplify the expression 4 (9x)
Naddika [18.5K]

Answer:

36x

Multiply x and 9

Multiply x and 1

The x just gets copied along.

The answer is x

x

9*x evaluates to 9x

Multiply 4 and 9x

Multiply 1 and x

The x just gets copied along.

x

4*(9*x) evaluates to 36x

The final answer is

36x

8 0
2 years ago
Read 2 more answers
Shaun loves to play golf. He wants to become a member at a golf course but is unsure which one
vazorg [7]

Answer:

  • Equation: (650 + 20) < (450 + 25)
  • Sentence to answer with: Cardinal Gold Club is the better golf couse because it is cheaper when we compare to total of both prices altogether.

Step-by-step explanation:

The reason why this club is better is because in Red Crest the fee is 650 and the charges per round is 20 so we add 650 + 20 to get the total of 670. Now we have to find the total of the Cardinal Golf Club and to do that we have to add their fee of 450 + the charges for each round which is 25 and 450 + 25 equals to 475. Lastly we have to compare to find the less/cheaper one ehich is Cardinal.

Im avalible on Mondays to Thursday from 8:00 A.M to 4:00 P.M.

--Priya

5 0
2 years ago
Ari buying 10 1/2 feet of rope that costs $5.25 per foot.How much will Ari spend?
lapo4ka [179]

Answer:

55.13

Step-by-step explanation:

10×5.25 = 52.50

52.50+2.63= 55.13

8 0
3 years ago
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