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inessss [21]
3 years ago
7

What is the value of x in the figure? Enter your answer in the box. 145º (2x + 15)

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

x = 65

Step-by-step explanation:

The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles

Vertical angles are congruent (In other words, they are equal to each other)

Hence, 2x + 15 = 145

                   ^ ( Note that we just created an equation  that we can use

                       to solve for x )

Using that same equation we then solve for x

2x + 15 = 145

step 1 subtract 15 from each side

15 - 15 cancels out

145 - 15 = 130

we now have 130 = 2x

step 2 divide each side by 2

130 / 2 = 65

2x / 2 = x

we're left with x = 65

You might be interested in
Find a and b to make the following matrices equal.
podryga [215]
We need the following to be true
a+2b = -a
a+4 = 2a - 3b

Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a

Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1

Just take the negative of that and you get the value of b.
b = -1

Your solution is a=1 and b = -1.

Have an awesome day! :)
4 0
3 years ago
Read 2 more answers
If (a,b) is an ordered pair for x-y=5, is (b,a) also a solution?
alina1380 [7]
The answer is no. Because solution (a,b) means x=a, y=b.and we have a-b=5.  And (b,a) would mean x=b and y=a but then x-y=b-a=-(a-b)=-5≠5. So  the pair (b,a) is not a solution.


5 0
3 years ago
If f(x)=-8x+8 and g(x) = sqrt x-9 what is (f•g)(18)
Serggg [28]

Answer:

-16

Step-by-step explanation:

f(x)=-8x+8 and g(x) = sqrt x-9

(f•g)(18)=f(g(18))

g(18)=sqrt(18-9)=sqrt9=3

f(3)=-24+8=-16

7 0
3 years ago
Find the value of y, given that m_ KLM = 137º.
Musya8 [376]

Answer:

y ≈ 5.63

Step-by-step explanation:

m∠KLN and m∠NLM have to add up to m∠KLM

m∠KLN = 47°

m∠NLM = 16y°

m∠KLM = 137°

47 + 16y = 137

16y = 90

y = 45/8

y = 5.625

y ≈ 5.63

6 0
3 years ago
Read 2 more answers
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
3 0
3 years ago
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