1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rus_ich [418]
3 years ago
7

Can someone please help me on this simple geometry question

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

x=7

Step-by-step explanation:

The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.

To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives  you 7.

1) Minus 104 from 180.

180-104=76

2) Multiply 25 by 2.

25*2=50

3) Add 50 to 76.

50+76=126

4) Multiply 9 by 2.

9*2=18

5) Divide 126 by 18.

126/18=7

6) x=7

<u>Answer Checking:</u>

<u></u>

To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.

1) Multiply 7 by 18.

7*18=126

2) Minus 50 from 126.

126-50=76

3) Add 104 to 76.

104+76=180

<u>Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.</u>

You might be interested in
Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i
Minchanka [31]

Answer:

3x - 4y + z = 1

Step-by-step explanation:

Given

Point\ 1 = (4,3,1)

Point\ 2 = (4,1,-7)

Perpendicular to 8x + 7y + 4z = 18

Required

Determine the plane equation

The general equation of a plane is:

a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

For n =

(x_1,y_1,z_1) = (4,3,1)

(x_2,y_2,z_2) = (4,1,-7)

First, we need to determine parallel vector V_1

V_1 =

V_1 =

V_1 =

V_1 is parallel to the required plane

From the question, the required plane is perpendicular to 8x + 7y + 4z = 18

Next, we determine vector V_2

V_2 =

This implies that the required plane is parallel to V_2

Hence: V_1 and V_2 are parallel.

So, we can calculate the cross product V_1 * V_2

V_1 =

V_2 =

n = V_1 * V_2

V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]

The product is always of the form + - +

So:

V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]  -j\left[\begin{array}{cc}0&8\\8&4\end{array}\right] +k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]

Calculate the product

V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)

V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)

V_1 * V_2 = i(-48) - j(- 64) + k(- 16)

V_1 * V_2 = -48i +64j - 16k

So, the resulting vector, n is:

n =

Recall that:

n =

By comparison:

a = -48   b = 64   c = -16

Substitute these values in a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0

Recall that:(x_1,y_1,z_1) = (4,3,1)

So, we have:

-48(x-4) + 64(y - 3) -16(z-1) =0

-48x + 192 + 64y -192 - 16z +16 = 0

Collect Like Terms

-48x + 64y - 16z = 0 - 192 + 192 - 16

-48x + 64y - 16z = -16

Divide through by -16

3x - 4y + z = 1

<em>Hence, the equation of the plane is</em>3x - 4y + z = 1<em></em>

4 0
3 years ago
Find the value of the given variable (-4, r) (-8, 3) m=5
UNO [17]
R=23 because its slope the formula is Y-Y/X-X


6 0
4 years ago
What is the mslope and y-intercept
attashe74 [19]

Step-by-step explanation:

the y intercept is where 0= x

(0,y)

m is 5

7 0
3 years ago
30 pounds = to how many ounces
diamong [38]

Answer:

hear i think is the answer

Step-by-step explanation:

5 0
3 years ago
The medians $AD$, $BE$, and $CF$ of triangle $ABC$ intersect at the centroid $G$. The line through $G$ that is parallel to $BC$
Flauer [41]
G divides each median in the ratio of 2 to 1 (the longer side goes from G to the angle) triangle AMN is similar to triangle ABC (why?) AMN is a scaled version of ABC (by a factor of ⅔) its area should be scaled by (⅔)^2
6 0
4 years ago
Other questions:
  • Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inche
    8·1 answer
  • It takes Jill 2 hours to run 14.5 miles. At this rate, how far can she run in 3 hours?
    7·2 answers
  • You have a bag of red, white, and blue marbles. you know there are 11 red, 8 blue, and 3 white marbles in the bag. what's the pr
    7·1 answer
  • Find the price per unit for each item, then choose the best buy. a. Bread, 16 ounce loaf for 96¢ would = per ounce. b. Bread, 32
    15·2 answers
  • If f(x) = 3x+2, what is f(5)<br><br> A. 17<br> B. 10<br> C. 1<br> D. 13
    7·2 answers
  • What is the diffrent bettwen 1/4 and 1 1/2
    13·1 answer
  • 25 in a ratio of 2:3:5
    10·2 answers
  • Please help me with this question
    15·1 answer
  • help i do need all of them sadly i only have 18 points plssssssssss help first person get brainlyes sorry for the spelling
    7·2 answers
  • Can someone pls help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!