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3 years ago

HELP needed!!Completely the steps to find the value of x in the angle?

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

8x + 6 = m<4

m<4 = 180 - 118 = 62

8x + 6 = 62

8x = 56

x = 7

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wel

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3 years ago

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An isosceles triangle has a perimeter of 18 cm. Find a function that models its area A in terms of the length of its base b.

IgorLugansk [536]

So.... notice the picture below

now, we know what the "height" or "altitude" is
now, we also know the perimeter is 18cm

so, k + k + b = 18
or 2k + b = 18
thus $\bf k=\cfrac{18-b}{2}$

so... one can say that $\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=b
\\\\
h=\sqrt{k^2-\left( \frac{b}{2} \right)^2}
\\\\
h=\sqrt{k^2-\frac{b^2}{4}}\\
--------------\\
k=\frac{18-b}{2}\qquad thus\\
--------------\\
h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
A=\cfrac{1}{2}\cdot b\cdot \sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}$

and you can simplify it if you wish.. not sure you have to

7 0

3 years ago

If Triangle ABC= triangle DEF, which statement must be true?

arlik [135]

The statement must be true is AC = DF ⇒ A

Step-by-step explanation:

When two triangles are congruent, then

Their corresponding sides are equal in lengths
Their corresponding angles are equal in measures
Their perimeters and areas are equal

∵ ΔABC ≅ DEF

- Their corresponding sides and angles are equal

∴ AB = DE ⇒ AB is the corresponding side of DE

∴ BC = EF ⇒ BC is the corresponding side of EF

∴ AC = DF ⇒ AC is the corresponding side of DF

∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D

∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF

∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F

- Look to the answer to find the correct statement

∴ AC = DF

The statement must be true is AC = DF

Learn more:

You can learn more about the congruent of triangles in brainly.com/question/6108628

#LearnwithBrainly

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3 years ago

Helpppppppppppppppppppppp

olga nikolaevna [1]

Slope = change in y/change in x.

-2-0/2-1
-2/1
-2

Final answer: -2

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3 years ago

What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?

Elis [28]

There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ . The formula is as shown below: