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3 years ago

Find the measure of angle X.11°12°17°61°

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

From the inner triangle

90 + angle y + 29 = 180 degree

90 + y + 29 = 180

119 + y = 180 (subtract 119 on both sides)

y= 61 degree

(y+x) is the top angle for bigger triangle

From the outer triangle , 90 + (y+x) + 17 = 180

We know y = 61

90 + (61+x) + 17 = 180

90 + 61 + x 17 = 180

168 +x = 180(subtract 168 on both sides)

x= 12 degrees

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Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

2 years ago

Carlos walked to school on 14 of the 20 school days in February

Kruka [31]

70% all you have to do is divide the 14 by 20

5 0

3 years ago

Read 2 more answers

I need help on this?!

Sergio039 [100]

If you nee solving it will be:
c^6(-3c^5)^2
c^6(3c^5)^2
c^6·3^2(c^5)^2
c^6·9(c^5)^2
c^6·9c^10
9c^6c^10
9c^6+10
9c^16
So the answer is:
9c^16
(9c to the power of 16)
Sorry I was late..

3 0

3 years ago

Casey is selling adult tickets and student tickets for the school play. The adult tickets cost $6.00 and the student tickets cos

Natalija [7]

The answer is C
adult: x
student: y
x+y=120
6x+4y=560

6 0

2 years ago

Which expression is the expoentail from of (3√a)^2

Finger [1]

9a

This is because 3^2 is equal to 9 and <span>√a^2 is equal to a. </span>

3 0

3 years ago