Mathematics High School

Find the Value of X of this triangle

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

Since the base angles are the same, the side lengths are the same, making this an isosceles triangle

7(x+2) = 4(9-x)

Distribute

7x+14 = 36 -4x

Add 4x to each side

7x+4x +14 = 36 -4x+4x

11x +14 = 36

Subtract 14 to each side

11x+14-14 = 36-14

11x = 22

Divide by 11

11x/11 =22/11

x=2

Answer 2

Answer: x=2

Step-by-step explanation:

This is an isosceles triangle. That means both of the sides marked are congruent.

That means we can set up this equation and solve it:

[tex]7(x+2)=4(9-x)[/tex]

First let's use the distributive property

[tex](7)(x)+(7)(2)=(4)(9)-(4)(x)\\7x+14=36-4x[/tex]

Now we can add 4x on both sides

[tex]7x+14+4x=36-4x+4x\\11x+14=36[/tex]

Next we subtract 14 from both sides

[tex]11x+14-14=36-14\\11x=22[/tex]

Finally we divide both sides by 11

[tex]\frac{11x}{11} =\frac{2}{11} \\x=2[/tex]

Related Questions

Solve for all solutions of p.

Answers

We are given the equation below:

[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]

Use the property below:

[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]

From the equation:

[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]

Hence the answer is p = ± 1/2.

Answer

p = 1/2, -1/2p = ± 1/2

Both answers work. The second answer is in the plus-minus form.

Hope this helps! Let me know if you have any doubts.

What is the value of x in the diagram below?

Answers

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

x = 6 - 3

x = 3

Answer:

Step-by-step explanation:

parallelogram - top side = bottom side (parallel sides)

; x + 3 = 6

; x = 6 - 3

; x = 3

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years

Answers

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

Does this graph represent a function? Why or why not?
10
00
8
NJ
2
-10 -8 6 4-2,
2 4
8
8 10
-8-
-10+
O A. No, because it is not a straight line.
O B. Yes, because it is a curved line. •
C. No, because it fails the vertical line test.
D. Yes, because it passes the vertical line test.

Answers

What does the graph look like

i will give brainliest.

Answers

Answer:

speed

Step-by-step explanation:

HELP HELP HELP HELP HELP

Answers

Answer:

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?

Answers

the width is 10. l x w = a. 8 x 10 = 80

The width is 10 because the area of a rectangle is lxw so I can do the opposite of multiplication which is division and I then divide 80 by 8 and I get 10

select the correct answer

Answers

The correct answer is the 5th option (one before the last one).

pls anyone that can help

Answers

A. 34cm

Hope this helps! :)

Answer:

I think it’s b but I’m not 100% sure tho…

(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°

Answers

Answer:

Step-by-step explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer:

y=40

Step-by-step explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40

what is 3x+8 + 4x+10

Answers

7x+18-answer

Step-by-step explanation:

3x+8+4x+10

Simplify

Add the numbers

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3x+{\color{#c92786}{18}}+4x

3x+18+4x

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex]RainbowSalt2^{2}2^{2}[/tex]

╰══ღ❦ღ═══════╯

Can I have answers need them?

Answers

answers and work are together
x = 6
1. 7x
7(6)
42
2. x/3
6/3
2
3. 29 - x
29 - 6
23
4. 36/x
36/6
6
5. 9x
9(6)
54
6. x + 41
6 + 41
47
7. 3x + x
3(6) + 6
18 + 6
24
8. 2x - 2
2(6) - 2
12 - 2
10
b = 2
c = 7
9. 5 + b + c
5 + 2 + 7
14
10. 16 + 2 - 7
18 - 7
11
11. c - b + 1
7 - 2 + 1
5 + 1
6
12. 9b - c
9(2) - 7
18 - 7
11
13. 7c - b
7(7) - 2
49 - 2
47
14. 4c + b
4(7) + 2
28 + 2
30
15. 12b + c
12(2) + 7
24 + 7
31
16. 22 + b - c
22 + 2 - 7
24 - 7
17
y = 8
d = 4
17. 6y/d
6(8)/4
48/4
12
18. 20/d + y
20/4 + 8
5 + 8
13
19. yd/2
8(4)/2
32/2
16
20. y/d + 6
8/4 + 6
2 + 6
8

Consultant plans a survey to determine what % of the patients in a particular hospital were satisfied with the care they received after a major treatment. How many such patients should be surveyed so the margin of error for a 90% confidence interval is within .05? Suppose it is known from a past survey that such a % may be about 80%.

Answers

Solution:

Required margin of error = 0.05

Estimated population proportion p = 0.8

Significance level = 0.10

The [tex]\text{provided estimate population proportion}[/tex] p is 0.8

The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.

The number of patients surveyed to estimate the population proportion p within the required margin of error :

[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]

[tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]

= 173.15

Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.

Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.

Fill in the blank with the correct word.
When solving a numerical expression, you must add or subtract from left to type your answer...
order.
Please help!

Answers

………………………………………Right

Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 3 child tickets for a total of $100. The school took in $132 on the second day by selling 6 senior citizen tickets and 7 child tickets.

Answers

Answer:

What is the question pls

Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171

Answers

8171 9 inches and different radius

HELPPP PLEASEEE I’ll give brainliest and lots of points

Answers

Answer:

Exterior angle is same as the sum of non-adjacent interior angles.

#18

m∠3 = 43° + 22° = 65°

#20

123° = 90° + m∠4 ⇒m∠4 = 123° - 90° = 33°

18) Solution

By using exterior angle is same as the sum of non adjacent interior angles.

→ m<3 = 43° +22°

→ 65°

20) Solution

By using exterior angle is same as the sum of non adjacent interior angles.

→ 123° = 90° + m<4

→ m<4 = 123°-90°

→ 33°

Find the greatest common factor of 14a and 11a^2

Answers

Answer:

Step-by-step explanation:

help i need help lol

Answers

Answer:

Step-by-step explanation:

smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1

Answers

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

this is your answer : 0.1, 0.5, 0.8, 0.9

If A = {1,3,5,7,9, B = {0,36 lotin
AUB.

Answers

Step-by-step explanation:

a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest

find the product (3n-4)(3n-4)

Answers

Answer:

9n-8 is the product

Answer:

Search Quickmath in Chrome and

all problem will solve... I hope it helps and trust me it works

Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8

Answers

Step by step explaination

y-4x= -4

y= 4x-4

slope of the given eqn of line = 4

and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4

OPTION C , the eqn has slope = 4

CAN ANYONE HELP ME WITH THIS PLEASE??

Answers

Answer:

The answer is A. 6.4 and 5.6 and D. 39 and 27.

Step-by-step explanation:

A. 6.4 and 5.6 = 1.6 and 1.4

6.4 / 1.6 = 4

1.4 * 4 = 5.6

So A is correct.

D. 39 and 27 = 13 and 9

39 / 13 = 3

9 * 3 = 27

So D is correct.

Hope this helps! :)

A — 5х – 12°
B = 2х + 24°
B.
A

Answers

Hchfhdyhrnchfjdhdhzbfb didnt shen y

Which one is the correct answer above?

Answers

The answer would be the first one 32km

Find the circumference of circle K. Round your answer to the nearest tenth of a centimeter and use 3.14 to approximate pi. (It's a multiple choice question)

Answers

y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0

Nick spent 2.5 hours to travel a distance of 90 km by car. What is the rate of the car?

Answers

Answer:

36km/h

speed =distance/time

= 90/2.5

=36km/h

PLEASE HELP ME !! I BEG

Answers

Answer:

d yr welcome

Step-by-step explanation:

Option 'B' is the correct option:

[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]

What is the equation of a circle with center (7, 2) and radius 2?

Answers

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

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