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professor190 [17]
3 years ago
15

Find the value of x. Then find the measure of each angle.

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
3x-5=x+55 (corr angle //line)
3x-x=55+5
2x=60
x=30
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Given a right triangle, If tan aq=3/4, what is the length of the side adjacent to aq?
olasank [31]
Tan = o/a and = 3/4 so the opposite is 3 and the adjacent is 4
8 0
3 years ago
If Colorado spring, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does ea
Crank
C= Colorado B= Boston
C + B = 464
C = 1.2B
Substitute the known value of C from the second equation into the first
C + B = 464
(1.2B) + B = 464
2.2B = 464
Divide each side by 2.2
B = 210.9, rounded to 211 (it's asking for days, not partial days, so round)
If Boston has 211 days of sunshine , then Colorado Springs has 1.2 times that amount. 211 * 1.2 = 253.2 (rounded to 253)
Verification
211 + 253 = 464
3 0
2 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

x^{2} =(3-x)^{2} +2

x^{2} =9-6x+x^{2} +2

6x=11

x=\frac{11}{6}

Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
Convert 5/4 into a decimal
dimaraw [331]

Answer:

Step-by-step explanation:

The answer is 1.25

3 0
2 years ago
Help! help! help! Please help me! question is on image below!
Sergio039 [100]

Answer:

D

Step-by-step explanation:

Hope you get a 100% on the test

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4 0
2 years ago
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