Answer:
answer is 10
Step-by-step explanation:
(4x+12)+(4x+12)+(5x+26)=180[sum of isosceles triangles]
8x+34+5x+26=180
X=10
Answer:
41.67% probability that a student has a dog given that they have a cat
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: having a cat.
Event B: having a dog.
12 of 27 students have a cat:
This means that 
5 students who have a cat and a dog.
This means that 
What is the probability that a student has a dog given that they have a cat?

41.67% probability that a student has a dog given that they have a cat
In 2.44 seconds lindsey be 30 feet in the air.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16x²+33x+45
If the height is 30 feet.
30= -16x²+33x+45
-16x²+33x+45-30=0
-16x²+33x+15=0
16x²-33x-15=0
Solving the quadratic equation
x=-b±√b²-4ac/ 2a
x= 33 ± √2049/32
x= (33+ √2049)/32 and x=33-√2049/32
x=2.44 and -0.3833
Learn more quadratic equation here:
brainly.com/question/2263981
#SPJ1
Answer:
m∠1 + m∠2 = 180°
Step-by-step explanation:
An interior angle and its exterior angle are supplementary (they add up to 180°).
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<em>Have a blessed day!</em>