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3 years ago

How many triangles exist with the given angle measures? 60 60 60

1 answer:

6 0

The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle<span> exists with the given angle measures.</span>

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Ssignment

AnnZ [28]

Part a: The value of x is 33°

Part b: The measure of each base angle is 69°

Explanation:

It is given that the vertex angle of an isosceles triangle measures 42°.

The base angle in the triangle has a measure of $(2x+3)^{\circ}$

Part a: To determine the value of x

Since, in an isosceles triangle the base angles are always equal.

Thus, the three angles in an isosceles triangle add up to 180°

Hence, we have,

$42+2x+3+2x+3=180$

$42+4x+6=180$

$4x+48=180$

$4x=132$

$x=33^{\circ}$

Thus, the value of x is 33°

Part b: To find the measure of each base angle.

Base angle = $(2 x+3)^{\circ}$

Substituting $x=33^{\circ}$ , we get,

$Base \ angle = (2(33)+3)^{\circ}$

$=(66+3)^{\circ}$

$=69^{\circ}$

Thus, the measure of each base angle is 69°

6 0

4 years ago

I need help finding missing angles

vagabundo [1.1K]

Ok. Could I have a picture of the question? :)

6 0

3 years ago

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a

Crank

Answer:

$m_2 = -\frac{3}{4}$ -- (a)

$m_2 = -\frac{7}{3}$ -- (b)

$m_2 = -\frac{1}{4}$ --- (c)

$m_2 = -3$ -- (d)

Step-by-step explanation:

Given

$a.\ m = \frac{4}{3}$

$b.\ m = \frac{3}{7}$

$c.\ m = 4$

$d.\ m = \frac{1}{3}$

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

$m_2 = -\frac{1}{m}$

This formula will be applied in solving these questions.

$a.\ m = \frac{4}{3}$

$m_2 = -\frac{1}{m}$

Substitute 4/3 for m

$m_2 = -\frac{1}{4/3}$

Express as a proper division

$m_2 = -1/ \frac{4}{3}$

Convert to *

$m_2 = -1* \frac{3}{4}$

$m_2 = -\frac{3}{4}$

$b.\ m = \frac{3}{7}$

$m_2 = -\frac{1}{m}$

Substitute 3/7 for m

$m_2 = -\frac{1}{3/7}$

Express as a proper division

$m_2 = -1/ \frac{3}{7}$

Convert to *

$m_2 = -1* \frac{7}{3}$

$m_2 = -\frac{7}{3}$

$c.\ m = 4$

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

$d.\ m = \frac{1}{3}$

$m_2 = -\frac{1}{m}$

Substitute 1/3 for m

$m_2 = -\frac{1}{1/3}$

Express as a proper division

$m_2 = -1/ \frac{1}{3}$

Convert to *

$m_2 = -1* \frac{3}{1}$

$m_2 = -\frac{3}{1}$

$m_2 = -3$

4 0

3 years ago

Graph m=3 b=-1 m=-2 b=4

Fittoniya [83]

Answer:

y= 3x − 4

Step-by-step explanation:

The slope-intercept form for a linear equation is

y= mx + b, where m = the slope, and b = the y-intercept.

Given:

m= 3 and b = −4

y= 3x - 4

6 0

3 years ago

Need help with this fast

dalvyx [7]

Answer:

the second diver is the deepest

Step-by-step explanation:

45 is better than 36

6 0

3 years ago