All categories

2 years ago

Solve for the values of x and y in the diagram

Mathematics

2 answers:

qaws [65]2 years ago

7 0

Answer: y = 0.5, x = 50

Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:

a triangle has 180 degrees so we subtract the given 50 which gives us 130

2(2y + 64) = 130

4y + 128 = 130

y = .5

This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:

2(45 - x/4) = 65

x = 50

This means the bottom 2 angles of the second triangle are both 32.5.

bezimeni [28]2 years ago

7 0

Answer:

50+2y+64+2y+64=180(being isosceles triangle,the base are equal and its sum is 180)

178+4y=180

4y=180-178

y=2/4

y=1/2,,

now,

to find the value of 2y+64

2*1/2+64

1+64

65

atlast,

45-x/4+45-x/4+65=180

155-x-x/4=180

now solve yourself and what valve comes that's the value of X......

You might be interested in

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin

Mashutka [201]

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

$(x-0.5)^{2} +(y-3.5)^{2} =16$

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

$r^{2} = 16\\r=\sqrt{16}\\ r=4$

Therefore, the radius is 4 units long.

3 0

3 years ago

Mark drank 3 2/5 cups of orange jucie in the morning and 2 1/5 cups in the afternoon. How much orange jucie did mark drink in al

Alinara [238K]

Solutions

1) Convert mixed fractions into improper fractions.

$\frac{17}{5}+ \frac{11}{5}$

$= ((17 * 5) + (11 * 5)) / (5 * 5)$

$= (85 + 55) / 25$

$= 140/25$

$= 28/5$

$5 \frac{3}{5}$

5 0

3 years ago

The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro

Mazyrski [523]

Answer:

gwmfmskfdkwnd

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

May please someone help me?

MissTica

.484 is the ansewer since 4.4 *.11 is .484 hope this helps

5 0

3 years ago

PLEASE HELP!!!!!!!! What is the 8th term of this sequence? 1,-1/2,1/4,-1/8

Tom [10]

This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.

a(n) = a(1)*(r)^(n-1).

Check: If n=2 our formula must return -1/2. Does it?

a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.

Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)

7 0

3 years ago