Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
Learn more about line segments here:
brainly.com/question/1388250
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Z-4/9-1/3=5/9
z-4 =5/9(9-1/3)
z-4 =4.414814815
z =8.814
Fill in the y of the bottom equation with the top equation because it gives you what Y equals. To answer the question it would be easier to input the top equation into the bottom one. Once you then get the equation for X go to the equation on top and fill in the x to get the y. X=0 Y=2