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kap26 [50]
3 years ago
13

Someone, please help me with this.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

14

Step-by-step explanation:

7x-1+6x-1=180

13x-2=180

13x=180+2

13x=182

x=14

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The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.
FromTheMoon [43]

Step-by-step explanation:

Let ABCD be a rhombus. So, AC (AC = 14 cm) and BD (BD=48 cm) will be its diagonals. Let us assume that diagonals are intersecting at point O.

Since, diagonals of a rhombus are perpendicular bisector.

\because \: OA  =  \frac{1}{2}  \times AC \\  \\   \therefore \: OA  =  \frac{1}{2}  \times 14 \\  \\   \huge \red{ \boxed{\therefore \: OA  =  7 \: cm}} \\  \\ \because \: OB  =  \frac{1}{2}  \times BD \\  \\ \therefore \: OB  =  \frac{1}{2}  \times 48 \\  \\ \huge \red{ \boxed{\therefore \: OB  = 24 \: cm}} \\  \\ In \:  \triangle OAB, \:  \:  \angle AOB=90° \\  \therefore \: by \: Pythagoras \: Theorem \\ AB= \sqrt{OA^2 +OB^2 }  \\  =  \sqrt{7^2 +24^2 } \\ =  \sqrt{49+576 } \\ =  \sqrt{625 } \\  \huge \orange{ \boxed{\ \therefore \:AB= 25 \: cm.}}

Hence, length of a side (or all) is 25 cm.

3 0
4 years ago
Willie Workout joined a health club. There was a $50 registration fee, and a $25 monthly fee. If Willie visits the club 3 times
IrinaVladis [17]
25×12
=300

300+50
=350

52×3
=156

350÷156
=2.24 ...answer
4 0
3 years ago
Read 2 more answers
Given that F(x) = x 2 + 2, evaluate F(1) + F(5).
Igoryamba

Answer:

F(1)= (1)2 + 2

          2+2

           =4

F(5)= (5)2 + 2

          10+2

           =12

F(1) + F(5) = 12+4

            =16

Step-by-step explanation:

:D

8 0
3 years ago
What is the value of n in the equation show below 2^2×2^n=(2^4)^3​
ki77a [65]

Answer:

n=10

Step-by-step explanation:

2^(n+2)=2^12

n+2=12

n=10

4 0
3 years ago
Make each expression a true statement
Lelu [443]

Answer:

( d / c ) < ( a / d )

( b / d ) < ( a / d )

( d / a ) < ( a / d )

Step-by-step explanation:

For this problem, we need to consider the given information that a > b > c > d > 0.  Note that a is the greatest number and that d is the least number.

Given this fact, we can create a fraction that will result in a maximum value by simply doing the following:

a / d

The reason the fraction ( a / d ) results in a maximum, is because of the given information where a is the furthest from 0, and d is the closest to 0.  Therefore, we can say that no other combination will result in a value greater than ( a / d).

So in the three given statements, we have different combinations of fractions being compared to our maximum value fraction.  Our maximum value fraction ( a / d ) will always be greater than any other combination.

Thus, we will choose the sign that makes ( a / d ) greater than the other choice fractions.

Cheers.

6 0
3 years ago
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