The measures of the angles of the isosceles triangle are 55, 55 and 70.
Explanation:
An isosceles triangle has two congruent base angles and a vertex angle.
Let
b
=the measure of one of the base angles.
Let
v
=
the measure of the the vertex angle.
The vertex angle is 40 degrees less than the sum of the base angles.
v
=
b
+
b
−
40
=
2
b
−
40
The sum of the measures of the angles of a triangle is 180.
b
+
b
+
v
=
180
Substitute
2
b
−
40
for
v
.
b
+
b
+
2
b
−
40
=
180
4
b
−
40
=
180
+40+40
Combine like terms.
Add 40 to both sides.
4b=220
Divide by 4
4
b/4
=
220
/4
b
=
55
v
=
2
b
−
40
v
=
2
(
55
)
−
40
=
70
Answer:
28.3
Step-by-step explanation:
12/20 = 17/x
cross multiply
12x=340
divide each side by 12
x=28.3333333333.......
round it to nearest tenth
28.3
ANSWER
x=100,y=10
EXPLANATION
The given logarithmic equations are;
This implies that,
and
This implies that,
Put equation (2) into equation (1)
Hence y=10.
This implies
Point V
Also point V
(-5,-5.5)
The length of the bedroom exists at x = 9 and y = 6.
<h3>How to estimate the length of the bedroom?</h3>
From the given information, we get
Then
Solve this for x.
simplifying the value of x we get
Equate (1/9) to 1/x.
x = 9 (feet).
Convert 1.5 inches to feet using a proportion:
Solve this for y.
simplifying the value of y we get
(1/4)y = 3/2
Multiply both sides of the equation by 4.
y = 6
Therefore, the length of the bedroom exists at x = 9 and y = 6.
To learn more the value of x refers to:
brainly.com/question/2284360
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