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PilotLPTM [1.2K]
3 years ago
9

Write a paragraph proof for the following conjecture.

Mathematics
1 answer:
qaws [65]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

<u>Given:</u> m∠SQR=55°.

m∠PQS=35°.

<u>Prove:</u> △PQR is a right triangle.

<u>Paragraph proof </u>

\begin{array}{ccc}&\text{Statement}&\text{Reason}\\ \\1.&m\angle SQR = 55^{\circ}&\text{Given}\\2.&m\angle PQS = 35^{\circ}&\text{Given}\\3. &m\angle SQR+m\angle PQS=m\angle PQR&\text{Angle Addition Postulate}\\4.&m\angle PQR=55^{\circ}+35^{\circ}&\text{Substitution Property of Equality}\\5. & m\angle PQR=90^{\circ}&\text{Simplify}\\6. &\angle PQR\text{ is a }&\text{right angle }\\&\text{right angle}&\text{d}\\ 7.&\triangle PQR&\triangle\text{d} \end{array}

Here d means definition

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The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the
Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0
3 years ago
Solve for w.<br><br> w−8=32<br><br><br> w = 4<br><br> w = 24<br><br> w = 40<br><br> w = 256
Serjik [45]

Answer:

w=40

Step-by-step explanation:

Let's solve your equation step-by-step.

w−8=32

Step 1: Add 8 to both sides.

w−8+8=32+8

w=40

3 0
3 years ago
Read 2 more answers
The accompanying multiple regression model was developed to relate receipts​ (revenue) of Broadway plays to the number of paying
makvit [3.9K]

Answer:

The interpretation is incomplete, just states about one independent variable impact, ignores the other variables in the model.

Step-by-step explanation:

Regression states the relationship between independent variable (x's) & dependent variable (y). Hypothesis states the statistical significance of their relationships.

Given case multiple regression : y = b0 + b1x1 + b2x2 + b2x3 , where  y = broadway plays revenue , x1= no. of paying attendants, x2 = no. of shows, x3 = average ticket price.

Null Hypothesis H0: b2 = 0; Alternate Hypothesis H1: b2  ≠ 0, denote whether x2 i.e 'no. of shows' significantly affect y i.e 'broadway plays revenue'.

However, the multiple regression model ignores effect of all other independent variables (x's - x1, x2, x3) affecting dependent variable (y - broadway plays revenue)

8 0
3 years ago
Please help i will give Brainliest <br> 7.4 = -t/8.5<br> t = ?
posledela

Answer:

-62.9

Step-by-step explanation:

7.4= \frac{-t}{8.5}

8.5 (7.4)=-t

62.9=-t

t=-62.9

3 0
3 years ago
96.3 cm measured to the nearest tenth of a cm
rjkz [21]

Answer:

96.3 cm measured to the nearest tenth of a cm is 100 cm

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3 years ago
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